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Finding the Fourth Proportional to 2,176.57, 3,001.62 and 1,678.42

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Solution

The fourth proportional to 2,176.57, 3,001.62 and 1,678.42 is: 2,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.57 : 3,001.62 = 1,678.42 : x
  2. Step 2: Convert to fraction form
    2,176.57/3,001.62 = 1,678.42/x
  3. Step 3: Cross multiply
    2,176.57x = 3,001.62 × 1,678.42
  4. Step 4: Simplify right side
    2,176.57x = 5,037,979.04
  5. Step 5: Solve for x
    x = 5,037,979.04/2,176.57
  6. Step 6: Final answer
    x = 2,314.64

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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.