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Finding the Fourth Proportional to 1,677.68, 2,315.33 and 931.71

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Solution

The fourth proportional to 1,677.68, 2,315.33 and 931.71 is: 1,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.68 : 2,315.33 = 931.71 : x
  2. Step 2: Convert to fraction form
    1,677.68/2,315.33 = 931.71/x
  3. Step 3: Cross multiply
    1,677.68x = 2,315.33 × 931.71
  4. Step 4: Simplify right side
    1,677.68x = 2,157,216.11
  5. Step 5: Solve for x
    x = 2,157,216.11/1,677.68
  6. Step 6: Final answer
    x = 1,285.83

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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.