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Finding the Fourth Proportional to 2,143.13, 2,957.72 and 1,211.63

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Solution

The fourth proportional to 2,143.13, 2,957.72 and 1,211.63 is: 1,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.13 : 2,957.72 = 1,211.63 : x
  2. Step 2: Convert to fraction form
    2,143.13/2,957.72 = 1,211.63/x
  3. Step 3: Cross multiply
    2,143.13x = 2,957.72 × 1,211.63
  4. Step 4: Simplify right side
    2,143.13x = 3,583,641.44
  5. Step 5: Solve for x
    x = 3,583,641.44/2,143.13
  6. Step 6: Final answer
    x = 1,672.16

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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.