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Finding the Fourth Proportional to 2,932.88, 4,421.51 and 2,774.12

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Solution

The fourth proportional to 2,932.88, 4,421.51 and 2,774.12 is: 4,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.88 : 4,421.51 = 2,774.12 : x
  2. Step 2: Convert to fraction form
    2,932.88/4,421.51 = 2,774.12/x
  3. Step 3: Cross multiply
    2,932.88x = 4,421.51 × 2,774.12
  4. Step 4: Simplify right side
    2,932.88x = 12,265,799.32
  5. Step 5: Solve for x
    x = 12,265,799.32/2,932.88
  6. Step 6: Final answer
    x = 4,182.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.