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Finding the Fourth Proportional to 2,514.71, 3,755.13 and 2,053.39

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Solution

The fourth proportional to 2,514.71, 3,755.13 and 2,053.39 is: 3,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.71 : 3,755.13 = 2,053.39 : x
  2. Step 2: Convert to fraction form
    2,514.71/3,755.13 = 2,053.39/x
  3. Step 3: Cross multiply
    2,514.71x = 3,755.13 × 2,053.39
  4. Step 4: Simplify right side
    2,514.71x = 7,710,717.35
  5. Step 5: Solve for x
    x = 7,710,717.35/2,514.71
  6. Step 6: Final answer
    x = 3,066.25

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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.