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Finding the Fourth Proportional to 2,909.85, 4,365.35 and 962.04

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Solution

The fourth proportional to 2,909.85, 4,365.35 and 962.04 is: 1,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.85 : 4,365.35 = 962.04 : x
  2. Step 2: Convert to fraction form
    2,909.85/4,365.35 = 962.04/x
  3. Step 3: Cross multiply
    2,909.85x = 4,365.35 × 962.04
  4. Step 4: Simplify right side
    2,909.85x = 4,199,641.31
  5. Step 5: Solve for x
    x = 4,199,641.31/2,909.85
  6. Step 6: Final answer
    x = 1,443.25

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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.