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Finding the Fourth Proportional to 2,293.66, 3,442.02 and 1,985.05

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Solution

The fourth proportional to 2,293.66, 3,442.02 and 1,985.05 is: 2,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.66 : 3,442.02 = 1,985.05 : x
  2. Step 2: Convert to fraction form
    2,293.66/3,442.02 = 1,985.05/x
  3. Step 3: Cross multiply
    2,293.66x = 3,442.02 × 1,985.05
  4. Step 4: Simplify right side
    2,293.66x = 6,832,581.80
  5. Step 5: Solve for x
    x = 6,832,581.80/2,293.66
  6. Step 6: Final answer
    x = 2,978.90

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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.