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Finding the Fourth Proportional to 2,681.69, 4,024.11 and 1,038.15

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Solution

The fourth proportional to 2,681.69, 4,024.11 and 1,038.15 is: 1,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.69 : 4,024.11 = 1,038.15 : x
  2. Step 2: Convert to fraction form
    2,681.69/4,024.11 = 1,038.15/x
  3. Step 3: Cross multiply
    2,681.69x = 4,024.11 × 1,038.15
  4. Step 4: Simplify right side
    2,681.69x = 4,177,629.80
  5. Step 5: Solve for x
    x = 4,177,629.80/2,681.69
  6. Step 6: Final answer
    x = 1,557.84

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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.