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Finding the Fourth Proportional to 1,598.55, 2,379 and 1,540.23

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Solution

The fourth proportional to 1,598.55, 2,379 and 1,540.23 is: 2,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.55 : 2,379 = 1,540.23 : x
  2. Step 2: Convert to fraction form
    1,598.55/2,379 = 1,540.23/x
  3. Step 3: Cross multiply
    1,598.55x = 2,379 × 1,540.23
  4. Step 4: Simplify right side
    1,598.55x = 3,664,207.17
  5. Step 5: Solve for x
    x = 3,664,207.17/1,598.55
  6. Step 6: Final answer
    x = 2,292.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.