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Finding the Fourth Proportional to 2,593.05, 3,886.44 and 948.71

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Solution

The fourth proportional to 2,593.05, 3,886.44 and 948.71 is: 1,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.05 : 3,886.44 = 948.71 : x
  2. Step 2: Convert to fraction form
    2,593.05/3,886.44 = 948.71/x
  3. Step 3: Cross multiply
    2,593.05x = 3,886.44 × 948.71
  4. Step 4: Simplify right side
    2,593.05x = 3,687,085.06
  5. Step 5: Solve for x
    x = 3,687,085.06/2,593.05
  6. Step 6: Final answer
    x = 1,421.91

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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.