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Finding the Fourth Proportional to 1,677.75, 2,315.27 and 931.70

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Solution

The fourth proportional to 1,677.75, 2,315.27 and 931.70 is: 1,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.75 : 2,315.27 = 931.70 : x
  2. Step 2: Convert to fraction form
    1,677.75/2,315.27 = 931.70/x
  3. Step 3: Cross multiply
    1,677.75x = 2,315.27 × 931.70
  4. Step 4: Simplify right side
    1,677.75x = 2,157,120.82
  5. Step 5: Solve for x
    x = 2,157,120.82/1,677.75
  6. Step 6: Final answer
    x = 1,285.72

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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.