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Finding the Fourth Proportional to 1,655.68, 2,272.36 and 1,514.90

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Solution

The fourth proportional to 1,655.68, 2,272.36 and 1,514.90 is: 2,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.68 : 2,272.36 = 1,514.90 : x
  2. Step 2: Convert to fraction form
    1,655.68/2,272.36 = 1,514.90/x
  3. Step 3: Cross multiply
    1,655.68x = 2,272.36 × 1,514.90
  4. Step 4: Simplify right side
    1,655.68x = 3,442,398.16
  5. Step 5: Solve for x
    x = 3,442,398.16/1,655.68
  6. Step 6: Final answer
    x = 2,079.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.