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Finding the Fourth Proportional to 2,833.40, 4,248.36 and 1,100

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Solution

The fourth proportional to 2,833.40, 4,248.36 and 1,100 is: 1,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.40 : 4,248.36 = 1,100 : x
  2. Step 2: Convert to fraction form
    2,833.40/4,248.36 = 1,100/x
  3. Step 3: Cross multiply
    2,833.40x = 4,248.36 × 1,100
  4. Step 4: Simplify right side
    2,833.40x = 4,673,196
  5. Step 5: Solve for x
    x = 4,673,196/2,833.40
  6. Step 6: Final answer
    x = 1,649.32

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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.