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Finding the Fourth Proportional to 1,862.92, 2,796.54 and 1,132.84

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Solution

The fourth proportional to 1,862.92, 2,796.54 and 1,132.84 is: 1,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.92 : 2,796.54 = 1,132.84 : x
  2. Step 2: Convert to fraction form
    1,862.92/2,796.54 = 1,132.84/x
  3. Step 3: Cross multiply
    1,862.92x = 2,796.54 × 1,132.84
  4. Step 4: Simplify right side
    1,862.92x = 3,168,032.37
  5. Step 5: Solve for x
    x = 3,168,032.37/1,862.92
  6. Step 6: Final answer
    x = 1,700.57

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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.