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Finding the Fourth Proportional to 2,293.76, 3,442.31 and 833.03

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Solution

The fourth proportional to 2,293.76, 3,442.31 and 833.03 is: 1,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.76 : 3,442.31 = 833.03 : x
  2. Step 2: Convert to fraction form
    2,293.76/3,442.31 = 833.03/x
  3. Step 3: Cross multiply
    2,293.76x = 3,442.31 × 833.03
  4. Step 4: Simplify right side
    2,293.76x = 2,867,547.50
  5. Step 5: Solve for x
    x = 2,867,547.50/2,293.76
  6. Step 6: Final answer
    x = 1,250.15

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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.