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Finding the Fourth Proportional to 2,673.76, 4,010.31 and 1,029.13

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Solution

The fourth proportional to 2,673.76, 4,010.31 and 1,029.13 is: 1,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.76 : 4,010.31 = 1,029.13 : x
  2. Step 2: Convert to fraction form
    2,673.76/4,010.31 = 1,029.13/x
  3. Step 3: Cross multiply
    2,673.76x = 4,010.31 × 1,029.13
  4. Step 4: Simplify right side
    2,673.76x = 4,127,131.58
  5. Step 5: Solve for x
    x = 4,127,131.58/2,673.76
  6. Step 6: Final answer
    x = 1,543.57

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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.