Home / 1,417.02-2,122.45-867.54

Finding the Fourth Proportional to 1,417.02, 2,122.45 and 867.54

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Solution

The fourth proportional to 1,417.02, 2,122.45 and 867.54 is: 1,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.02 : 2,122.45 = 867.54 : x
  2. Step 2: Convert to fraction form
    1,417.02/2,122.45 = 867.54/x
  3. Step 3: Cross multiply
    1,417.02x = 2,122.45 × 867.54
  4. Step 4: Simplify right side
    1,417.02x = 1,841,310.27
  5. Step 5: Solve for x
    x = 1,841,310.27/1,417.02
  6. Step 6: Final answer
    x = 1,299.42

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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.