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Finding the Fourth Proportional to 1,411.22, 2,114.71 and 862.65

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Solution

The fourth proportional to 1,411.22, 2,114.71 and 862.65 is: 1,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.22 : 2,114.71 = 862.65 : x
  2. Step 2: Convert to fraction form
    1,411.22/2,114.71 = 862.65/x
  3. Step 3: Cross multiply
    1,411.22x = 2,114.71 × 862.65
  4. Step 4: Simplify right side
    1,411.22x = 1,824,252.42
  5. Step 5: Solve for x
    x = 1,824,252.42/1,411.22
  6. Step 6: Final answer
    x = 1,292.68

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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.