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Finding the Fourth Proportional to 2,599.83, 3,900.47 and 956.43

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Solution

The fourth proportional to 2,599.83, 3,900.47 and 956.43 is: 1,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.83 : 3,900.47 = 956.43 : x
  2. Step 2: Convert to fraction form
    2,599.83/3,900.47 = 956.43/x
  3. Step 3: Cross multiply
    2,599.83x = 3,900.47 × 956.43
  4. Step 4: Simplify right side
    2,599.83x = 3,730,521.74
  5. Step 5: Solve for x
    x = 3,730,521.74/2,599.83
  6. Step 6: Final answer
    x = 1,434.91

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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.