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Finding the Fourth Proportional to 2,130.59, 3,196.38 and 724.93

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Solution

The fourth proportional to 2,130.59, 3,196.38 and 724.93 is: 1,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.59 : 3,196.38 = 724.93 : x
  2. Step 2: Convert to fraction form
    2,130.59/3,196.38 = 724.93/x
  3. Step 3: Cross multiply
    2,130.59x = 3,196.38 × 724.93
  4. Step 4: Simplify right side
    2,130.59x = 2,317,160.38
  5. Step 5: Solve for x
    x = 2,317,160.38/2,130.59
  6. Step 6: Final answer
    x = 1,087.57

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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.