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Finding the Fourth Proportional to 2,376.90, 3,564.44 and 915.26

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Solution

The fourth proportional to 2,376.90, 3,564.44 and 915.26 is: 1,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.90 : 3,564.44 = 915.26 : x
  2. Step 2: Convert to fraction form
    2,376.90/3,564.44 = 915.26/x
  3. Step 3: Cross multiply
    2,376.90x = 3,564.44 × 915.26
  4. Step 4: Simplify right side
    2,376.90x = 3,262,389.35
  5. Step 5: Solve for x
    x = 3,262,389.35/2,376.90
  6. Step 6: Final answer
    x = 1,372.54

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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.