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Finding the Fourth Proportional to 2,647.13, 3,970.74 and 915.80

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Solution

The fourth proportional to 2,647.13, 3,970.74 and 915.80 is: 1,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.13 : 3,970.74 = 915.80 : x
  2. Step 2: Convert to fraction form
    2,647.13/3,970.74 = 915.80/x
  3. Step 3: Cross multiply
    2,647.13x = 3,970.74 × 915.80
  4. Step 4: Simplify right side
    2,647.13x = 3,636,403.69
  5. Step 5: Solve for x
    x = 3,636,403.69/2,647.13
  6. Step 6: Final answer
    x = 1,373.72

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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.