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Finding the Fourth Proportional to 2,530.81, 3,489.87 and 2,329.93

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Solution

The fourth proportional to 2,530.81, 3,489.87 and 2,329.93 is: 3,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.81 : 3,489.87 = 2,329.93 : x
  2. Step 2: Convert to fraction form
    2,530.81/3,489.87 = 2,329.93/x
  3. Step 3: Cross multiply
    2,530.81x = 3,489.87 × 2,329.93
  4. Step 4: Simplify right side
    2,530.81x = 8,131,152.81
  5. Step 5: Solve for x
    x = 8,131,152.81/2,530.81
  6. Step 6: Final answer
    x = 3,212.87

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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.