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Finding the Fourth Proportional to 2,475.61, 3,713.05 and 936.25

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Solution

The fourth proportional to 2,475.61, 3,713.05 and 936.25 is: 1,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.61 : 3,713.05 = 936.25 : x
  2. Step 2: Convert to fraction form
    2,475.61/3,713.05 = 936.25/x
  3. Step 3: Cross multiply
    2,475.61x = 3,713.05 × 936.25
  4. Step 4: Simplify right side
    2,475.61x = 3,476,343.06
  5. Step 5: Solve for x
    x = 3,476,343.06/2,475.61
  6. Step 6: Final answer
    x = 1,404.24

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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.