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Finding the Fourth Proportional to 3,294.59, 4,941.15 and 954.08

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Solution

The fourth proportional to 3,294.59, 4,941.15 and 954.08 is: 1,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.59 : 4,941.15 = 954.08 : x
  2. Step 2: Convert to fraction form
    3,294.59/4,941.15 = 954.08/x
  3. Step 3: Cross multiply
    3,294.59x = 4,941.15 × 954.08
  4. Step 4: Simplify right side
    3,294.59x = 4,714,248.00
  5. Step 5: Solve for x
    x = 4,714,248.00/3,294.59
  6. Step 6: Final answer
    x = 1,430.91

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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.