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Finding the Fourth Proportional to 2,305.60, 3,473.80 and 2,086.52

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Solution

The fourth proportional to 2,305.60, 3,473.80 and 2,086.52 is: 3,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.60 : 3,473.80 = 2,086.52 : x
  2. Step 2: Convert to fraction form
    2,305.60/3,473.80 = 2,086.52/x
  3. Step 3: Cross multiply
    2,305.60x = 3,473.80 × 2,086.52
  4. Step 4: Simplify right side
    2,305.60x = 7,248,153.18
  5. Step 5: Solve for x
    x = 7,248,153.18/2,305.60
  6. Step 6: Final answer
    x = 3,143.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.