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Finding the Fourth Proportional to 1,417.57, 2,127.18 and 595.78

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Solution

The fourth proportional to 1,417.57, 2,127.18 and 595.78 is: 894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.57 : 2,127.18 = 595.78 : x
  2. Step 2: Convert to fraction form
    1,417.57/2,127.18 = 595.78/x
  3. Step 3: Cross multiply
    1,417.57x = 2,127.18 × 595.78
  4. Step 4: Simplify right side
    1,417.57x = 1,267,331.30
  5. Step 5: Solve for x
    x = 1,267,331.30/1,417.57
  6. Step 6: Final answer
    x = 894.02

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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.