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Finding the Fourth Proportional to 1,948.47, 2,688.86 and 1,064.25

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Solution

The fourth proportional to 1,948.47, 2,688.86 and 1,064.25 is: 1,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.47 : 2,688.86 = 1,064.25 : x
  2. Step 2: Convert to fraction form
    1,948.47/2,688.86 = 1,064.25/x
  3. Step 3: Cross multiply
    1,948.47x = 2,688.86 × 1,064.25
  4. Step 4: Simplify right side
    1,948.47x = 2,861,621.92
  5. Step 5: Solve for x
    x = 2,861,621.92/1,948.47
  6. Step 6: Final answer
    x = 1,468.65

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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.