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Finding the Fourth Proportional to 1,514.61, 2,256.68 and 1,415.25

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Solution

The fourth proportional to 1,514.61, 2,256.68 and 1,415.25 is: 2,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.61 : 2,256.68 = 1,415.25 : x
  2. Step 2: Convert to fraction form
    1,514.61/2,256.68 = 1,415.25/x
  3. Step 3: Cross multiply
    1,514.61x = 2,256.68 × 1,415.25
  4. Step 4: Simplify right side
    1,514.61x = 3,193,769.91
  5. Step 5: Solve for x
    x = 3,193,769.91/1,514.61
  6. Step 6: Final answer
    x = 2,108.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.