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Finding the Fourth Proportional to 1,856.53, 2,785.09 and 882.30

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Solution

The fourth proportional to 1,856.53, 2,785.09 and 882.30 is: 1,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.53 : 2,785.09 = 882.30 : x
  2. Step 2: Convert to fraction form
    1,856.53/2,785.09 = 882.30/x
  3. Step 3: Cross multiply
    1,856.53x = 2,785.09 × 882.30
  4. Step 4: Simplify right side
    1,856.53x = 2,457,284.91
  5. Step 5: Solve for x
    x = 2,457,284.91/1,856.53
  6. Step 6: Final answer
    x = 1,323.59

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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.