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Finding the Fourth Proportional to 1,598.52, 2,399.58 and 1,237.66

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Solution

The fourth proportional to 1,598.52, 2,399.58 and 1,237.66 is: 1,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.52 : 2,399.58 = 1,237.66 : x
  2. Step 2: Convert to fraction form
    1,598.52/2,399.58 = 1,237.66/x
  3. Step 3: Cross multiply
    1,598.52x = 2,399.58 × 1,237.66
  4. Step 4: Simplify right side
    1,598.52x = 2,969,864.18
  5. Step 5: Solve for x
    x = 2,969,864.18/1,598.52
  6. Step 6: Final answer
    x = 1,857.88

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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.