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Finding the Fourth Proportional to 3,206.52, 4,809.24 and 1,258.74

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Solution

The fourth proportional to 3,206.52, 4,809.24 and 1,258.74 is: 1,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.52 : 4,809.24 = 1,258.74 : x
  2. Step 2: Convert to fraction form
    3,206.52/4,809.24 = 1,258.74/x
  3. Step 3: Cross multiply
    3,206.52x = 4,809.24 × 1,258.74
  4. Step 4: Simplify right side
    3,206.52x = 6,053,582.76
  5. Step 5: Solve for x
    x = 6,053,582.76/3,206.52
  6. Step 6: Final answer
    x = 1,887.90

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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.