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Finding the Fourth Proportional to 4,642.59, 6,963.20 and 1,354.80

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Solution

The fourth proportional to 4,642.59, 6,963.20 and 1,354.80 is: 2,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.59 : 6,963.20 = 1,354.80 : x
  2. Step 2: Convert to fraction form
    4,642.59/6,963.20 = 1,354.80/x
  3. Step 3: Cross multiply
    4,642.59x = 6,963.20 × 1,354.80
  4. Step 4: Simplify right side
    4,642.59x = 9,433,743.36
  5. Step 5: Solve for x
    x = 9,433,743.36/4,642.59
  6. Step 6: Final answer
    x = 2,032.00

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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.