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Finding the Fourth Proportional to 2,143.46, 2,959.65 and 1,645.31

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Solution

The fourth proportional to 2,143.46, 2,959.65 and 1,645.31 is: 2,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.46 : 2,959.65 = 1,645.31 : x
  2. Step 2: Convert to fraction form
    2,143.46/2,959.65 = 1,645.31/x
  3. Step 3: Cross multiply
    2,143.46x = 2,959.65 × 1,645.31
  4. Step 4: Simplify right side
    2,143.46x = 4,869,541.74
  5. Step 5: Solve for x
    x = 4,869,541.74/2,143.46
  6. Step 6: Final answer
    x = 2,271.81

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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.