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Finding the Fourth Proportional to 1,743.48, 2,611.80 and 876.96

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Solution

The fourth proportional to 1,743.48, 2,611.80 and 876.96 is: 1,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.48 : 2,611.80 = 876.96 : x
  2. Step 2: Convert to fraction form
    1,743.48/2,611.80 = 876.96/x
  3. Step 3: Cross multiply
    1,743.48x = 2,611.80 × 876.96
  4. Step 4: Simplify right side
    1,743.48x = 2,290,444.13
  5. Step 5: Solve for x
    x = 2,290,444.13/1,743.48
  6. Step 6: Final answer
    x = 1,313.72

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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.