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Finding the Fourth Proportional to 2,069.48, 3,105.30 and 915.32

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Solution

The fourth proportional to 2,069.48, 3,105.30 and 915.32 is: 1,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.48 : 3,105.30 = 915.32 : x
  2. Step 2: Convert to fraction form
    2,069.48/3,105.30 = 915.32/x
  3. Step 3: Cross multiply
    2,069.48x = 3,105.30 × 915.32
  4. Step 4: Simplify right side
    2,069.48x = 2,842,343.20
  5. Step 5: Solve for x
    x = 2,842,343.20/2,069.48
  6. Step 6: Final answer
    x = 1,373.46

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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.