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Finding the Fourth Proportional to 1,552.55, 2,329.97 and 1,142.78

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Solution

The fourth proportional to 1,552.55, 2,329.97 and 1,142.78 is: 1,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.55 : 2,329.97 = 1,142.78 : x
  2. Step 2: Convert to fraction form
    1,552.55/2,329.97 = 1,142.78/x
  3. Step 3: Cross multiply
    1,552.55x = 2,329.97 × 1,142.78
  4. Step 4: Simplify right side
    1,552.55x = 2,662,625.75
  5. Step 5: Solve for x
    x = 2,662,625.75/1,552.55
  6. Step 6: Final answer
    x = 1,715.01

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