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Finding the Fourth Proportional to 2,856.99, 4,285.46 and 882.62

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Solution

The fourth proportional to 2,856.99, 4,285.46 and 882.62 is: 1,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.99 : 4,285.46 = 882.62 : x
  2. Step 2: Convert to fraction form
    2,856.99/4,285.46 = 882.62/x
  3. Step 3: Cross multiply
    2,856.99x = 4,285.46 × 882.62
  4. Step 4: Simplify right side
    2,856.99x = 3,782,432.71
  5. Step 5: Solve for x
    x = 3,782,432.71/2,856.99
  6. Step 6: Final answer
    x = 1,323.92

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.