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Finding the Fourth Proportional to 1,225.20, 1,835.91 and 915.60

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Solution

The fourth proportional to 1,225.20, 1,835.91 and 915.60 is: 1,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.20 : 1,835.91 = 915.60 : x
  2. Step 2: Convert to fraction form
    1,225.20/1,835.91 = 915.60/x
  3. Step 3: Cross multiply
    1,225.20x = 1,835.91 × 915.60
  4. Step 4: Simplify right side
    1,225.20x = 1,680,959.20
  5. Step 5: Solve for x
    x = 1,680,959.20/1,225.20
  6. Step 6: Final answer
    x = 1,371.99

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Why These Related Problems?

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