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Finding the Fourth Proportional to 2,472.92, 3,412.50 and 1,410.74

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Solution

The fourth proportional to 2,472.92, 3,412.50 and 1,410.74 is: 1,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.92 : 3,412.50 = 1,410.74 : x
  2. Step 2: Convert to fraction form
    2,472.92/3,412.50 = 1,410.74/x
  3. Step 3: Cross multiply
    2,472.92x = 3,412.50 × 1,410.74
  4. Step 4: Simplify right side
    2,472.92x = 4,814,150.25
  5. Step 5: Solve for x
    x = 4,814,150.25/2,472.92
  6. Step 6: Final answer
    x = 1,946.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.