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Finding the Fourth Proportional to 1,948.31, 2,688.71 and 1,064.12

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Solution

The fourth proportional to 1,948.31, 2,688.71 and 1,064.12 is: 1,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.31 : 2,688.71 = 1,064.12 : x
  2. Step 2: Convert to fraction form
    1,948.31/2,688.71 = 1,064.12/x
  3. Step 3: Cross multiply
    1,948.31x = 2,688.71 × 1,064.12
  4. Step 4: Simplify right side
    1,948.31x = 2,861,109.38
  5. Step 5: Solve for x
    x = 2,861,109.38/1,948.31
  6. Step 6: Final answer
    x = 1,468.51

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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.