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Finding the Fourth Proportional to 2,761.40, 3,810.76 and 1,502.46

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Solution

The fourth proportional to 2,761.40, 3,810.76 and 1,502.46 is: 2,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.40 : 3,810.76 = 1,502.46 : x
  2. Step 2: Convert to fraction form
    2,761.40/3,810.76 = 1,502.46/x
  3. Step 3: Cross multiply
    2,761.40x = 3,810.76 × 1,502.46
  4. Step 4: Simplify right side
    2,761.40x = 5,725,514.47
  5. Step 5: Solve for x
    x = 5,725,514.47/2,761.40
  6. Step 6: Final answer
    x = 2,073.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.