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Finding the Fourth Proportional to 1,642.65, 2,267.31 and 934.88

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Solution

The fourth proportional to 1,642.65, 2,267.31 and 934.88 is: 1,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.65 : 2,267.31 = 934.88 : x
  2. Step 2: Convert to fraction form
    1,642.65/2,267.31 = 934.88/x
  3. Step 3: Cross multiply
    1,642.65x = 2,267.31 × 934.88
  4. Step 4: Simplify right side
    1,642.65x = 2,119,649.68
  5. Step 5: Solve for x
    x = 2,119,649.68/1,642.65
  6. Step 6: Final answer
    x = 1,290.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.