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Finding the Fourth Proportional to 4,291.38, 6,438.15 and 1,480.50

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Solution

The fourth proportional to 4,291.38, 6,438.15 and 1,480.50 is: 2,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.38 : 6,438.15 = 1,480.50 : x
  2. Step 2: Convert to fraction form
    4,291.38/6,438.15 = 1,480.50/x
  3. Step 3: Cross multiply
    4,291.38x = 6,438.15 × 1,480.50
  4. Step 4: Simplify right side
    4,291.38x = 9,531,681.08
  5. Step 5: Solve for x
    x = 9,531,681.08/4,291.38
  6. Step 6: Final answer
    x = 2,221.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.