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Finding the Fourth Proportional to 2,673.76, 3,693.14 and 2,587.65

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Solution

The fourth proportional to 2,673.76, 3,693.14 and 2,587.65 is: 3,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.76 : 3,693.14 = 2,587.65 : x
  2. Step 2: Convert to fraction form
    2,673.76/3,693.14 = 2,587.65/x
  3. Step 3: Cross multiply
    2,673.76x = 3,693.14 × 2,587.65
  4. Step 4: Simplify right side
    2,673.76x = 9,556,551.19
  5. Step 5: Solve for x
    x = 9,556,551.19/2,673.76
  6. Step 6: Final answer
    x = 3,574.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.