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Finding the Fourth Proportional to 2,869.44, 3,953.88 and 2,307.66

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Solution

The fourth proportional to 2,869.44, 3,953.88 and 2,307.66 is: 3,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.44 : 3,953.88 = 2,307.66 : x
  2. Step 2: Convert to fraction form
    2,869.44/3,953.88 = 2,307.66/x
  3. Step 3: Cross multiply
    2,869.44x = 3,953.88 × 2,307.66
  4. Step 4: Simplify right side
    2,869.44x = 9,124,210.72
  5. Step 5: Solve for x
    x = 9,124,210.72/2,869.44
  6. Step 6: Final answer
    x = 3,179.79

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