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Finding the Fourth Proportional to 2,385, 3,291.30 and 1,454.04

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Solution

The fourth proportional to 2,385, 3,291.30 and 1,454.04 is: 2,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385 : 3,291.30 = 1,454.04 : x
  2. Step 2: Convert to fraction form
    2,385/3,291.30 = 1,454.04/x
  3. Step 3: Cross multiply
    2,385x = 3,291.30 × 1,454.04
  4. Step 4: Simplify right side
    2,385x = 4,785,681.85
  5. Step 5: Solve for x
    x = 4,785,681.85/2,385
  6. Step 6: Final answer
    x = 2,006.58

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Why These Related Problems?

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