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Finding the Fourth Proportional to 1,300.85, 1,949.12 and 915.29

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Solution

The fourth proportional to 1,300.85, 1,949.12 and 915.29 is: 1,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.85 : 1,949.12 = 915.29 : x
  2. Step 2: Convert to fraction form
    1,300.85/1,949.12 = 915.29/x
  3. Step 3: Cross multiply
    1,300.85x = 1,949.12 × 915.29
  4. Step 4: Simplify right side
    1,300.85x = 1,784,005.47
  5. Step 5: Solve for x
    x = 1,784,005.47/1,300.85
  6. Step 6: Final answer
    x = 1,371.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.