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Finding the Fourth Proportional to 1,967.12, 2,714.76 and 1,139.12

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Solution

The fourth proportional to 1,967.12, 2,714.76 and 1,139.12 is: 1,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.12 : 2,714.76 = 1,139.12 : x
  2. Step 2: Convert to fraction form
    1,967.12/2,714.76 = 1,139.12/x
  3. Step 3: Cross multiply
    1,967.12x = 2,714.76 × 1,139.12
  4. Step 4: Simplify right side
    1,967.12x = 3,092,437.41
  5. Step 5: Solve for x
    x = 3,092,437.41/1,967.12
  6. Step 6: Final answer
    x = 1,572.06

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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.