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Finding the Fourth Proportional to 2,774.67, 4,132.16 and 2,607

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Solution

The fourth proportional to 2,774.67, 4,132.16 and 2,607 is: 3,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.67 : 4,132.16 = 2,607 : x
  2. Step 2: Convert to fraction form
    2,774.67/4,132.16 = 2,607/x
  3. Step 3: Cross multiply
    2,774.67x = 4,132.16 × 2,607
  4. Step 4: Simplify right side
    2,774.67x = 10,772,528.09
  5. Step 5: Solve for x
    x = 10,772,528.09/2,774.67
  6. Step 6: Final answer
    x = 3,882.45

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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.