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Finding the Fourth Proportional to 2,544.32, 3,816.02 and 900.87

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Solution

The fourth proportional to 2,544.32, 3,816.02 and 900.87 is: 1,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.32 : 3,816.02 = 900.87 : x
  2. Step 2: Convert to fraction form
    2,544.32/3,816.02 = 900.87/x
  3. Step 3: Cross multiply
    2,544.32x = 3,816.02 × 900.87
  4. Step 4: Simplify right side
    2,544.32x = 3,437,733.43
  5. Step 5: Solve for x
    x = 3,437,733.43/2,544.32
  6. Step 6: Final answer
    x = 1,351.14

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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.