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Finding the Fourth Proportional to 1,575.30, 2,362.61 and 915.78

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Solution

The fourth proportional to 1,575.30, 2,362.61 and 915.78 is: 1,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.30 : 2,362.61 = 915.78 : x
  2. Step 2: Convert to fraction form
    1,575.30/2,362.61 = 915.78/x
  3. Step 3: Cross multiply
    1,575.30x = 2,362.61 × 915.78
  4. Step 4: Simplify right side
    1,575.30x = 2,163,626.41
  5. Step 5: Solve for x
    x = 2,163,626.41/1,575.30
  6. Step 6: Final answer
    x = 1,373.47

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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.