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Finding the Fourth Proportional to 1,307.18, 1,959.17 and 915.05

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Solution

The fourth proportional to 1,307.18, 1,959.17 and 915.05 is: 1,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.18 : 1,959.17 = 915.05 : x
  2. Step 2: Convert to fraction form
    1,307.18/1,959.17 = 915.05/x
  3. Step 3: Cross multiply
    1,307.18x = 1,959.17 × 915.05
  4. Step 4: Simplify right side
    1,307.18x = 1,792,724.14
  5. Step 5: Solve for x
    x = 1,792,724.14/1,307.18
  6. Step 6: Final answer
    x = 1,371.45

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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.