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Finding the Fourth Proportional to 1,499.56, 2,068.90 and 902.24

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Solution

The fourth proportional to 1,499.56, 2,068.90 and 902.24 is: 1,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.56 : 2,068.90 = 902.24 : x
  2. Step 2: Convert to fraction form
    1,499.56/2,068.90 = 902.24/x
  3. Step 3: Cross multiply
    1,499.56x = 2,068.90 × 902.24
  4. Step 4: Simplify right side
    1,499.56x = 1,866,644.34
  5. Step 5: Solve for x
    x = 1,866,644.34/1,499.56
  6. Step 6: Final answer
    x = 1,244.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.