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Finding the Fourth Proportional to 1,532.78, 2,115.62 and 942.99

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Solution

The fourth proportional to 1,532.78, 2,115.62 and 942.99 is: 1,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.78 : 2,115.62 = 942.99 : x
  2. Step 2: Convert to fraction form
    1,532.78/2,115.62 = 942.99/x
  3. Step 3: Cross multiply
    1,532.78x = 2,115.62 × 942.99
  4. Step 4: Simplify right side
    1,532.78x = 1,995,008.50
  5. Step 5: Solve for x
    x = 1,995,008.50/1,532.78
  6. Step 6: Final answer
    x = 1,301.56

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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.