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Finding the Fourth Proportional to 2,169.15, 2,994.57 and 1,670.69

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Solution

The fourth proportional to 2,169.15, 2,994.57 and 1,670.69 is: 2,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.15 : 2,994.57 = 1,670.69 : x
  2. Step 2: Convert to fraction form
    2,169.15/2,994.57 = 1,670.69/x
  3. Step 3: Cross multiply
    2,169.15x = 2,994.57 × 1,670.69
  4. Step 4: Simplify right side
    2,169.15x = 5,003,005.64
  5. Step 5: Solve for x
    x = 5,003,005.64/2,169.15
  6. Step 6: Final answer
    x = 2,306.44

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