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Finding the Fourth Proportional to 3,117.94, 4,677.38 and 926.39

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Solution

The fourth proportional to 3,117.94, 4,677.38 and 926.39 is: 1,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.94 : 4,677.38 = 926.39 : x
  2. Step 2: Convert to fraction form
    3,117.94/4,677.38 = 926.39/x
  3. Step 3: Cross multiply
    3,117.94x = 4,677.38 × 926.39
  4. Step 4: Simplify right side
    3,117.94x = 4,333,078.06
  5. Step 5: Solve for x
    x = 4,333,078.06/3,117.94
  6. Step 6: Final answer
    x = 1,389.72

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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.