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Finding the Fourth Proportional to 1,829.06, 2,742.14 and 733.13

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Solution

The fourth proportional to 1,829.06, 2,742.14 and 733.13 is: 1,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.06 : 2,742.14 = 733.13 : x
  2. Step 2: Convert to fraction form
    1,829.06/2,742.14 = 733.13/x
  3. Step 3: Cross multiply
    1,829.06x = 2,742.14 × 733.13
  4. Step 4: Simplify right side
    1,829.06x = 2,010,345.10
  5. Step 5: Solve for x
    x = 2,010,345.10/1,829.06
  6. Step 6: Final answer
    x = 1,099.11

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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.