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Finding the Fourth Proportional to 1,742.92, 2,614.44 and 876.76

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Solution

The fourth proportional to 1,742.92, 2,614.44 and 876.76 is: 1,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.92 : 2,614.44 = 876.76 : x
  2. Step 2: Convert to fraction form
    1,742.92/2,614.44 = 876.76/x
  3. Step 3: Cross multiply
    1,742.92x = 2,614.44 × 876.76
  4. Step 4: Simplify right side
    1,742.92x = 2,292,236.41
  5. Step 5: Solve for x
    x = 2,292,236.41/1,742.92
  6. Step 6: Final answer
    x = 1,315.17

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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.