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Finding the Fourth Proportional to 3,117.90, 4,677.78 and 926.70

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Solution

The fourth proportional to 3,117.90, 4,677.78 and 926.70 is: 1,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.90 : 4,677.78 = 926.70 : x
  2. Step 2: Convert to fraction form
    3,117.90/4,677.78 = 926.70/x
  3. Step 3: Cross multiply
    3,117.90x = 4,677.78 × 926.70
  4. Step 4: Simplify right side
    3,117.90x = 4,334,898.73
  5. Step 5: Solve for x
    x = 4,334,898.73/3,117.90
  6. Step 6: Final answer
    x = 1,390.33

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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.