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Finding the Fourth Proportional to 2,385.17, 3,575.01 and 923.52

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Solution

The fourth proportional to 2,385.17, 3,575.01 and 923.52 is: 1,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.17 : 3,575.01 = 923.52 : x
  2. Step 2: Convert to fraction form
    2,385.17/3,575.01 = 923.52/x
  3. Step 3: Cross multiply
    2,385.17x = 3,575.01 × 923.52
  4. Step 4: Simplify right side
    2,385.17x = 3,301,593.24
  5. Step 5: Solve for x
    x = 3,301,593.24/2,385.17
  6. Step 6: Final answer
    x = 1,384.22

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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.