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Finding the Fourth Proportional to 1,603.10, 2,400.60 and 1,052.30

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Solution

The fourth proportional to 1,603.10, 2,400.60 and 1,052.30 is: 1,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.10 : 2,400.60 = 1,052.30 : x
  2. Step 2: Convert to fraction form
    1,603.10/2,400.60 = 1,052.30/x
  3. Step 3: Cross multiply
    1,603.10x = 2,400.60 × 1,052.30
  4. Step 4: Simplify right side
    1,603.10x = 2,526,151.38
  5. Step 5: Solve for x
    x = 2,526,151.38/1,603.10
  6. Step 6: Final answer
    x = 1,575.79

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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.