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Finding the Fourth Proportional to 2,214.60, 3,310 and 1,594.20

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Solution

The fourth proportional to 2,214.60, 3,310 and 1,594.20 is: 2,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.60 : 3,310 = 1,594.20 : x
  2. Step 2: Convert to fraction form
    2,214.60/3,310 = 1,594.20/x
  3. Step 3: Cross multiply
    2,214.60x = 3,310 × 1,594.20
  4. Step 4: Simplify right side
    2,214.60x = 5,276,802
  5. Step 5: Solve for x
    x = 5,276,802/2,214.60
  6. Step 6: Final answer
    x = 2,382.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.