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Finding the Fourth Proportional to 2,844.69, 3,929.55 and 2,407.29

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Solution

The fourth proportional to 2,844.69, 3,929.55 and 2,407.29 is: 3,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.69 : 3,929.55 = 2,407.29 : x
  2. Step 2: Convert to fraction form
    2,844.69/3,929.55 = 2,407.29/x
  3. Step 3: Cross multiply
    2,844.69x = 3,929.55 × 2,407.29
  4. Step 4: Simplify right side
    2,844.69x = 9,459,566.42
  5. Step 5: Solve for x
    x = 9,459,566.42/2,844.69
  6. Step 6: Final answer
    x = 3,325.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.