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Finding the Fourth Proportional to 2,438.03, 3,642.10 and 1,598.27

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Solution

The fourth proportional to 2,438.03, 3,642.10 and 1,598.27 is: 2,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.03 : 3,642.10 = 1,598.27 : x
  2. Step 2: Convert to fraction form
    2,438.03/3,642.10 = 1,598.27/x
  3. Step 3: Cross multiply
    2,438.03x = 3,642.10 × 1,598.27
  4. Step 4: Simplify right side
    2,438.03x = 5,821,036.96
  5. Step 5: Solve for x
    x = 5,821,036.96/2,438.03
  6. Step 6: Final answer
    x = 2,387.60

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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.