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Finding the Fourth Proportional to 1,829.16, 2,741.76 and 732.96

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Solution

The fourth proportional to 1,829.16, 2,741.76 and 732.96 is: 1,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.16 : 2,741.76 = 732.96 : x
  2. Step 2: Convert to fraction form
    1,829.16/2,741.76 = 732.96/x
  3. Step 3: Cross multiply
    1,829.16x = 2,741.76 × 732.96
  4. Step 4: Simplify right side
    1,829.16x = 2,009,600.41
  5. Step 5: Solve for x
    x = 2,009,600.41/1,829.16
  6. Step 6: Final answer
    x = 1,098.65

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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.