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Finding the Fourth Proportional to 3,091, 4,265.64 and 1,693.84

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Solution

The fourth proportional to 3,091, 4,265.64 and 1,693.84 is: 2,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091 : 4,265.64 = 1,693.84 : x
  2. Step 2: Convert to fraction form
    3,091/4,265.64 = 1,693.84/x
  3. Step 3: Cross multiply
    3,091x = 4,265.64 × 1,693.84
  4. Step 4: Simplify right side
    3,091x = 7,225,311.66
  5. Step 5: Solve for x
    x = 7,225,311.66/3,091
  6. Step 6: Final answer
    x = 2,337.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.