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Finding the Fourth Proportional to 2,458.77, 3,688.46 and 816.39

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Solution

The fourth proportional to 2,458.77, 3,688.46 and 816.39 is: 1,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.77 : 3,688.46 = 816.39 : x
  2. Step 2: Convert to fraction form
    2,458.77/3,688.46 = 816.39/x
  3. Step 3: Cross multiply
    2,458.77x = 3,688.46 × 816.39
  4. Step 4: Simplify right side
    2,458.77x = 3,011,217.78
  5. Step 5: Solve for x
    x = 3,011,217.78/2,458.77
  6. Step 6: Final answer
    x = 1,224.68

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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.