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Finding the Fourth Proportional to 1,532.10, 2,296.92 and 953.76

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Solution

The fourth proportional to 1,532.10, 2,296.92 and 953.76 is: 1,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.10 : 2,296.92 = 953.76 : x
  2. Step 2: Convert to fraction form
    1,532.10/2,296.92 = 953.76/x
  3. Step 3: Cross multiply
    1,532.10x = 2,296.92 × 953.76
  4. Step 4: Simplify right side
    1,532.10x = 2,190,710.42
  5. Step 5: Solve for x
    x = 2,190,710.42/1,532.10
  6. Step 6: Final answer
    x = 1,429.87

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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.