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Finding the Fourth Proportional to 1,514.74, 2,271.80 and 590.28

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Solution

The fourth proportional to 1,514.74, 2,271.80 and 590.28 is: 885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.74 : 2,271.80 = 590.28 : x
  2. Step 2: Convert to fraction form
    1,514.74/2,271.80 = 590.28/x
  3. Step 3: Cross multiply
    1,514.74x = 2,271.80 × 590.28
  4. Step 4: Simplify right side
    1,514.74x = 1,340,998.10
  5. Step 5: Solve for x
    x = 1,340,998.10/1,514.74
  6. Step 6: Final answer
    x = 885.30

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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.