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Finding the Fourth Proportional to 2,301.63, 3,452.90 and 915.62

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Solution

The fourth proportional to 2,301.63, 3,452.90 and 915.62 is: 1,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.63 : 3,452.90 = 915.62 : x
  2. Step 2: Convert to fraction form
    2,301.63/3,452.90 = 915.62/x
  3. Step 3: Cross multiply
    2,301.63x = 3,452.90 × 915.62
  4. Step 4: Simplify right side
    2,301.63x = 3,161,522.46
  5. Step 5: Solve for x
    x = 3,161,522.46/2,301.63
  6. Step 6: Final answer
    x = 1,373.60

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1.5x scale

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.