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Finding the Fourth Proportional to 2,603.52, 3,902.40 and 870.84

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Solution

The fourth proportional to 2,603.52, 3,902.40 and 870.84 is: 1,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.52 : 3,902.40 = 870.84 : x
  2. Step 2: Convert to fraction form
    2,603.52/3,902.40 = 870.84/x
  3. Step 3: Cross multiply
    2,603.52x = 3,902.40 × 870.84
  4. Step 4: Simplify right side
    2,603.52x = 3,398,366.02
  5. Step 5: Solve for x
    x = 3,398,366.02/2,603.52
  6. Step 6: Final answer
    x = 1,305.30

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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.