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Finding the Fourth Proportional to 1,743.48, 2,611.98 and 1,049.40

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Solution

The fourth proportional to 1,743.48, 2,611.98 and 1,049.40 is: 1,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.48 : 2,611.98 = 1,049.40 : x
  2. Step 2: Convert to fraction form
    1,743.48/2,611.98 = 1,049.40/x
  3. Step 3: Cross multiply
    1,743.48x = 2,611.98 × 1,049.40
  4. Step 4: Simplify right side
    1,743.48x = 2,741,011.81
  5. Step 5: Solve for x
    x = 2,741,011.81/1,743.48
  6. Step 6: Final answer
    x = 1,572.15

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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.