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Finding the Fourth Proportional to 1,238.04, 1,864.30 and 915.68

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Solution

The fourth proportional to 1,238.04, 1,864.30 and 915.68 is: 1,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.04 : 1,864.30 = 915.68 : x
  2. Step 2: Convert to fraction form
    1,238.04/1,864.30 = 915.68/x
  3. Step 3: Cross multiply
    1,238.04x = 1,864.30 × 915.68
  4. Step 4: Simplify right side
    1,238.04x = 1,707,102.22
  5. Step 5: Solve for x
    x = 1,707,102.22/1,238.04
  6. Step 6: Final answer
    x = 1,378.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.