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Finding the Fourth Proportional to 1,948.94, 2,689.50 and 1,064.74

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Solution

The fourth proportional to 1,948.94, 2,689.50 and 1,064.74 is: 1,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.94 : 2,689.50 = 1,064.74 : x
  2. Step 2: Convert to fraction form
    1,948.94/2,689.50 = 1,064.74/x
  3. Step 3: Cross multiply
    1,948.94x = 2,689.50 × 1,064.74
  4. Step 4: Simplify right side
    1,948.94x = 2,863,618.23
  5. Step 5: Solve for x
    x = 2,863,618.23/1,948.94
  6. Step 6: Final answer
    x = 1,469.32

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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.