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Finding the Fourth Proportional to 2,829.57, 4,242.15 and 1,348.02

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Solution

The fourth proportional to 2,829.57, 4,242.15 and 1,348.02 is: 2,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.57 : 4,242.15 = 1,348.02 : x
  2. Step 2: Convert to fraction form
    2,829.57/4,242.15 = 1,348.02/x
  3. Step 3: Cross multiply
    2,829.57x = 4,242.15 × 1,348.02
  4. Step 4: Simplify right side
    2,829.57x = 5,718,503.04
  5. Step 5: Solve for x
    x = 5,718,503.04/2,829.57
  6. Step 6: Final answer
    x = 2,020.98

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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.