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Finding the Fourth Proportional to 3,178.76, 4,386.68 and 1,936.76

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Solution

The fourth proportional to 3,178.76, 4,386.68 and 1,936.76 is: 2,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.76 : 4,386.68 = 1,936.76 : x
  2. Step 2: Convert to fraction form
    3,178.76/4,386.68 = 1,936.76/x
  3. Step 3: Cross multiply
    3,178.76x = 4,386.68 × 1,936.76
  4. Step 4: Simplify right side
    3,178.76x = 8,495,946.36
  5. Step 5: Solve for x
    x = 8,495,946.36/3,178.76
  6. Step 6: Final answer
    x = 2,672.72

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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.