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Finding the Fourth Proportional to 2,585.80, 3,853 and 2,460.28

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Solution

The fourth proportional to 2,585.80, 3,853 and 2,460.28 is: 3,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.80 : 3,853 = 2,460.28 : x
  2. Step 2: Convert to fraction form
    2,585.80/3,853 = 2,460.28/x
  3. Step 3: Cross multiply
    2,585.80x = 3,853 × 2,460.28
  4. Step 4: Simplify right side
    2,585.80x = 9,479,458.84
  5. Step 5: Solve for x
    x = 9,479,458.84/2,585.80
  6. Step 6: Final answer
    x = 3,665.97

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1.5x scale

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.