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Finding the Fourth Proportional to 2,869.36, 3,963.56 and 2,312

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Solution

The fourth proportional to 2,869.36, 3,963.56 and 2,312 is: 3,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.36 : 3,963.56 = 2,312 : x
  2. Step 2: Convert to fraction form
    2,869.36/3,963.56 = 2,312/x
  3. Step 3: Cross multiply
    2,869.36x = 3,963.56 × 2,312
  4. Step 4: Simplify right side
    2,869.36x = 9,163,750.72
  5. Step 5: Solve for x
    x = 9,163,750.72/2,869.36
  6. Step 6: Final answer
    x = 3,193.66

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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.