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Finding the Fourth Proportional to 1,624.86, 2,432.24 and 882.62

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Solution

The fourth proportional to 1,624.86, 2,432.24 and 882.62 is: 1,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.86 : 2,432.24 = 882.62 : x
  2. Step 2: Convert to fraction form
    1,624.86/2,432.24 = 882.62/x
  3. Step 3: Cross multiply
    1,624.86x = 2,432.24 × 882.62
  4. Step 4: Simplify right side
    1,624.86x = 2,146,741.18
  5. Step 5: Solve for x
    x = 2,146,741.18/1,624.86
  6. Step 6: Final answer
    x = 1,321.18

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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.