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Finding the Fourth Proportional to 1,514.17, 2,271.30 and 647.92

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Solution

The fourth proportional to 1,514.17, 2,271.30 and 647.92 is: 971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.17 : 2,271.30 = 647.92 : x
  2. Step 2: Convert to fraction form
    1,514.17/2,271.30 = 647.92/x
  3. Step 3: Cross multiply
    1,514.17x = 2,271.30 × 647.92
  4. Step 4: Simplify right side
    1,514.17x = 1,471,620.70
  5. Step 5: Solve for x
    x = 1,471,620.70/1,514.17
  6. Step 6: Final answer
    x = 971.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.