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Finding the Fourth Proportional to 1,758.25, 2,426.49 and 972.28

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Solution

The fourth proportional to 1,758.25, 2,426.49 and 972.28 is: 1,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.25 : 2,426.49 = 972.28 : x
  2. Step 2: Convert to fraction form
    1,758.25/2,426.49 = 972.28/x
  3. Step 3: Cross multiply
    1,758.25x = 2,426.49 × 972.28
  4. Step 4: Simplify right side
    1,758.25x = 2,359,227.70
  5. Step 5: Solve for x
    x = 2,359,227.70/1,758.25
  6. Step 6: Final answer
    x = 1,341.80

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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.