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Finding the Fourth Proportional to 2,543.02, 3,812.13 and 898.43

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Solution

The fourth proportional to 2,543.02, 3,812.13 and 898.43 is: 1,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.02 : 3,812.13 = 898.43 : x
  2. Step 2: Convert to fraction form
    2,543.02/3,812.13 = 898.43/x
  3. Step 3: Cross multiply
    2,543.02x = 3,812.13 × 898.43
  4. Step 4: Simplify right side
    2,543.02x = 3,424,931.96
  5. Step 5: Solve for x
    x = 3,424,931.96/2,543.02
  6. Step 6: Final answer
    x = 1,346.80

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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.