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Finding the Fourth Proportional to 2,712.57, 4,064.65 and 1,881.25

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Solution

The fourth proportional to 2,712.57, 4,064.65 and 1,881.25 is: 2,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.57 : 4,064.65 = 1,881.25 : x
  2. Step 2: Convert to fraction form
    2,712.57/4,064.65 = 1,881.25/x
  3. Step 3: Cross multiply
    2,712.57x = 4,064.65 × 1,881.25
  4. Step 4: Simplify right side
    2,712.57x = 7,646,636.53
  5. Step 5: Solve for x
    x = 7,646,636.53/2,712.57
  6. Step 6: Final answer
    x = 2,818.96

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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.