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Finding the Fourth Proportional to 2,544.74, 3,815.62 and 984.47

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Solution

The fourth proportional to 2,544.74, 3,815.62 and 984.47 is: 1,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.74 : 3,815.62 = 984.47 : x
  2. Step 2: Convert to fraction form
    2,544.74/3,815.62 = 984.47/x
  3. Step 3: Cross multiply
    2,544.74x = 3,815.62 × 984.47
  4. Step 4: Simplify right side
    2,544.74x = 3,756,363.42
  5. Step 5: Solve for x
    x = 3,756,363.42/2,544.74
  6. Step 6: Final answer
    x = 1,476.13

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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.