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Finding the Fourth Proportional to 2,603.13, 3,591.16 and 1,658.41

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Solution

The fourth proportional to 2,603.13, 3,591.16 and 1,658.41 is: 2,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.13 : 3,591.16 = 1,658.41 : x
  2. Step 2: Convert to fraction form
    2,603.13/3,591.16 = 1,658.41/x
  3. Step 3: Cross multiply
    2,603.13x = 3,591.16 × 1,658.41
  4. Step 4: Simplify right side
    2,603.13x = 5,955,621.96
  5. Step 5: Solve for x
    x = 5,955,621.96/2,603.13
  6. Step 6: Final answer
    x = 2,287.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.