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Finding the Fourth Proportional to 1,615.53, 2,423.27 and 920.72

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Solution

The fourth proportional to 1,615.53, 2,423.27 and 920.72 is: 1,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.53 : 2,423.27 = 920.72 : x
  2. Step 2: Convert to fraction form
    1,615.53/2,423.27 = 920.72/x
  3. Step 3: Cross multiply
    1,615.53x = 2,423.27 × 920.72
  4. Step 4: Simplify right side
    1,615.53x = 2,231,136.43
  5. Step 5: Solve for x
    x = 2,231,136.43/1,615.53
  6. Step 6: Final answer
    x = 1,381.06

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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.