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Finding the Fourth Proportional to 2,585.76, 3,858.66 and 2,308.88

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Solution

The fourth proportional to 2,585.76, 3,858.66 and 2,308.88 is: 3,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.76 : 3,858.66 = 2,308.88 : x
  2. Step 2: Convert to fraction form
    2,585.76/3,858.66 = 2,308.88/x
  3. Step 3: Cross multiply
    2,585.76x = 3,858.66 × 2,308.88
  4. Step 4: Simplify right side
    2,585.76x = 8,909,182.90
  5. Step 5: Solve for x
    x = 8,909,182.90/2,585.76
  6. Step 6: Final answer
    x = 3,445.48

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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.