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Finding the Fourth Proportional to 1,262.39, 1,886.33 and 964.26

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Solution

The fourth proportional to 1,262.39, 1,886.33 and 964.26 is: 1,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.39 : 1,886.33 = 964.26 : x
  2. Step 2: Convert to fraction form
    1,262.39/1,886.33 = 964.26/x
  3. Step 3: Cross multiply
    1,262.39x = 1,886.33 × 964.26
  4. Step 4: Simplify right side
    1,262.39x = 1,818,912.57
  5. Step 5: Solve for x
    x = 1,818,912.57/1,262.39
  6. Step 6: Final answer
    x = 1,440.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.