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Finding the Fourth Proportional to 1,581.53, 2,372.34 and 759.63

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Solution

The fourth proportional to 1,581.53, 2,372.34 and 759.63 is: 1,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.53 : 2,372.34 = 759.63 : x
  2. Step 2: Convert to fraction form
    1,581.53/2,372.34 = 759.63/x
  3. Step 3: Cross multiply
    1,581.53x = 2,372.34 × 759.63
  4. Step 4: Simplify right side
    1,581.53x = 1,802,094.76
  5. Step 5: Solve for x
    x = 1,802,094.76/1,581.53
  6. Step 6: Final answer
    x = 1,139.47

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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.