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Finding the Fourth Proportional to 1,543.59, 2,130.89 and 984.15

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Solution

The fourth proportional to 1,543.59, 2,130.89 and 984.15 is: 1,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.59 : 2,130.89 = 984.15 : x
  2. Step 2: Convert to fraction form
    1,543.59/2,130.89 = 984.15/x
  3. Step 3: Cross multiply
    1,543.59x = 2,130.89 × 984.15
  4. Step 4: Simplify right side
    1,543.59x = 2,097,110.47
  5. Step 5: Solve for x
    x = 2,097,110.47/1,543.59
  6. Step 6: Final answer
    x = 1,358.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.