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Finding the Fourth Proportional to 1,692, 2,538.16 and 1,498.80

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Solution

The fourth proportional to 1,692, 2,538.16 and 1,498.80 is: 2,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692 : 2,538.16 = 1,498.80 : x
  2. Step 2: Convert to fraction form
    1,692/2,538.16 = 1,498.80/x
  3. Step 3: Cross multiply
    1,692x = 2,538.16 × 1,498.80
  4. Step 4: Simplify right side
    1,692x = 3,804,194.21
  5. Step 5: Solve for x
    x = 3,804,194.21/1,692
  6. Step 6: Final answer
    x = 2,248.34

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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.