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Finding the Fourth Proportional to 1,669.47, 2,494.04 and 1,197.18

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Solution

The fourth proportional to 1,669.47, 2,494.04 and 1,197.18 is: 1,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.47 : 2,494.04 = 1,197.18 : x
  2. Step 2: Convert to fraction form
    1,669.47/2,494.04 = 1,197.18/x
  3. Step 3: Cross multiply
    1,669.47x = 2,494.04 × 1,197.18
  4. Step 4: Simplify right side
    1,669.47x = 2,985,808.82
  5. Step 5: Solve for x
    x = 2,985,808.82/1,669.47
  6. Step 6: Final answer
    x = 1,788.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.