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Finding the Fourth Proportional to 2,543.40, 3,817.02 and 1,719.72

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Solution

The fourth proportional to 2,543.40, 3,817.02 and 1,719.72 is: 2,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.40 : 3,817.02 = 1,719.72 : x
  2. Step 2: Convert to fraction form
    2,543.40/3,817.02 = 1,719.72/x
  3. Step 3: Cross multiply
    2,543.40x = 3,817.02 × 1,719.72
  4. Step 4: Simplify right side
    2,543.40x = 6,564,205.63
  5. Step 5: Solve for x
    x = 6,564,205.63/2,543.40
  6. Step 6: Final answer
    x = 2,580.88

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Why These Related Problems?

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