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Finding the Fourth Proportional to 2,514.86, 3,771.60 and 1,053.70

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Solution

The fourth proportional to 2,514.86, 3,771.60 and 1,053.70 is: 1,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.86 : 3,771.60 = 1,053.70 : x
  2. Step 2: Convert to fraction form
    2,514.86/3,771.60 = 1,053.70/x
  3. Step 3: Cross multiply
    2,514.86x = 3,771.60 × 1,053.70
  4. Step 4: Simplify right side
    2,514.86x = 3,974,134.92
  5. Step 5: Solve for x
    x = 3,974,134.92/2,514.86
  6. Step 6: Final answer
    x = 1,580.26

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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.