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Finding the Fourth Proportional to 1,614.33, 2,411.03 and 1,603.87

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Solution

The fourth proportional to 1,614.33, 2,411.03 and 1,603.87 is: 2,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.33 : 2,411.03 = 1,603.87 : x
  2. Step 2: Convert to fraction form
    1,614.33/2,411.03 = 1,603.87/x
  3. Step 3: Cross multiply
    1,614.33x = 2,411.03 × 1,603.87
  4. Step 4: Simplify right side
    1,614.33x = 3,866,976.67
  5. Step 5: Solve for x
    x = 3,866,976.67/1,614.33
  6. Step 6: Final answer
    x = 2,395.41

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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.