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Finding the Fourth Proportional to 2,378.49, 3,566.25 and 915.90

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Solution

The fourth proportional to 2,378.49, 3,566.25 and 915.90 is: 1,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.49 : 3,566.25 = 915.90 : x
  2. Step 2: Convert to fraction form
    2,378.49/3,566.25 = 915.90/x
  3. Step 3: Cross multiply
    2,378.49x = 3,566.25 × 915.90
  4. Step 4: Simplify right side
    2,378.49x = 3,266,328.38
  5. Step 5: Solve for x
    x = 3,266,328.38/2,378.49
  6. Step 6: Final answer
    x = 1,373.28

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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.