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Finding the Fourth Proportional to 2,774.66, 3,823.76 and 1,987.34

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Solution

The fourth proportional to 2,774.66, 3,823.76 and 1,987.34 is: 2,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.66 : 3,823.76 = 1,987.34 : x
  2. Step 2: Convert to fraction form
    2,774.66/3,823.76 = 1,987.34/x
  3. Step 3: Cross multiply
    2,774.66x = 3,823.76 × 1,987.34
  4. Step 4: Simplify right side
    2,774.66x = 7,599,111.20
  5. Step 5: Solve for x
    x = 7,599,111.20/2,774.66
  6. Step 6: Final answer
    x = 2,738.75

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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.