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Finding the Fourth Proportional to 2,386.71, 3,294.81 and 1,591.38

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Solution

The fourth proportional to 2,386.71, 3,294.81 and 1,591.38 is: 2,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.71 : 3,294.81 = 1,591.38 : x
  2. Step 2: Convert to fraction form
    2,386.71/3,294.81 = 1,591.38/x
  3. Step 3: Cross multiply
    2,386.71x = 3,294.81 × 1,591.38
  4. Step 4: Simplify right side
    2,386.71x = 5,243,294.74
  5. Step 5: Solve for x
    x = 5,243,294.74/2,386.71
  6. Step 6: Final answer
    x = 2,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.