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Finding the Fourth Proportional to 2,603.84, 3,902.87 and 1,142.80

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Solution

The fourth proportional to 2,603.84, 3,902.87 and 1,142.80 is: 1,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.84 : 3,902.87 = 1,142.80 : x
  2. Step 2: Convert to fraction form
    2,603.84/3,902.87 = 1,142.80/x
  3. Step 3: Cross multiply
    2,603.84x = 3,902.87 × 1,142.80
  4. Step 4: Simplify right side
    2,603.84x = 4,460,174.61
  5. Step 5: Solve for x
    x = 4,460,174.61/2,603.84
  6. Step 6: Final answer
    x = 1,712.93

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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.