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Finding the Fourth Proportional to 2,474.92, 3,710.64 and 914.16

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Solution

The fourth proportional to 2,474.92, 3,710.64 and 914.16 is: 1,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.92 : 3,710.64 = 914.16 : x
  2. Step 2: Convert to fraction form
    2,474.92/3,710.64 = 914.16/x
  3. Step 3: Cross multiply
    2,474.92x = 3,710.64 × 914.16
  4. Step 4: Simplify right side
    2,474.92x = 3,392,118.66
  5. Step 5: Solve for x
    x = 3,392,118.66/2,474.92
  6. Step 6: Final answer
    x = 1,370.60

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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.