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Finding the Fourth Proportional to 2,543.49, 3,810.03 and 1,615.71

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Solution

The fourth proportional to 2,543.49, 3,810.03 and 1,615.71 is: 2,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.49 : 3,810.03 = 1,615.71 : x
  2. Step 2: Convert to fraction form
    2,543.49/3,810.03 = 1,615.71/x
  3. Step 3: Cross multiply
    2,543.49x = 3,810.03 × 1,615.71
  4. Step 4: Simplify right side
    2,543.49x = 6,155,903.57
  5. Step 5: Solve for x
    x = 6,155,903.57/2,543.49
  6. Step 6: Final answer
    x = 2,420.26

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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.