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Finding the Fourth Proportional to 2,377.60, 3,574.08 and 2,366.08

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Solution

The fourth proportional to 2,377.60, 3,574.08 and 2,366.08 is: 3,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.60 : 3,574.08 = 2,366.08 : x
  2. Step 2: Convert to fraction form
    2,377.60/3,574.08 = 2,366.08/x
  3. Step 3: Cross multiply
    2,377.60x = 3,574.08 × 2,366.08
  4. Step 4: Simplify right side
    2,377.60x = 8,456,559.21
  5. Step 5: Solve for x
    x = 8,456,559.21/2,377.60
  6. Step 6: Final answer
    x = 3,556.76

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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.