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Finding the Fourth Proportional to 2,357.70, 3,253.14 and 1,797.18

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Solution

The fourth proportional to 2,357.70, 3,253.14 and 1,797.18 is: 2,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.70 : 3,253.14 = 1,797.18 : x
  2. Step 2: Convert to fraction form
    2,357.70/3,253.14 = 1,797.18/x
  3. Step 3: Cross multiply
    2,357.70x = 3,253.14 × 1,797.18
  4. Step 4: Simplify right side
    2,357.70x = 5,846,478.15
  5. Step 5: Solve for x
    x = 5,846,478.15/2,357.70
  6. Step 6: Final answer
    x = 2,479.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.