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Finding the Fourth Proportional to 1,423.60, 1,964.94 and 1,275.97

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Solution

The fourth proportional to 1,423.60, 1,964.94 and 1,275.97 is: 1,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.60 : 1,964.94 = 1,275.97 : x
  2. Step 2: Convert to fraction form
    1,423.60/1,964.94 = 1,275.97/x
  3. Step 3: Cross multiply
    1,423.60x = 1,964.94 × 1,275.97
  4. Step 4: Simplify right side
    1,423.60x = 2,507,204.49
  5. Step 5: Solve for x
    x = 2,507,204.49/1,423.60
  6. Step 6: Final answer
    x = 1,761.17

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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.