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Finding the Fourth Proportional to 2,893.71, 4,340.02 and 1,411.45

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Solution

The fourth proportional to 2,893.71, 4,340.02 and 1,411.45 is: 2,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.71 : 4,340.02 = 1,411.45 : x
  2. Step 2: Convert to fraction form
    2,893.71/4,340.02 = 1,411.45/x
  3. Step 3: Cross multiply
    2,893.71x = 4,340.02 × 1,411.45
  4. Step 4: Simplify right side
    2,893.71x = 6,125,721.23
  5. Step 5: Solve for x
    x = 6,125,721.23/2,893.71
  6. Step 6: Final answer
    x = 2,116.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.