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Finding the Fourth Proportional to 3,010.62, 4,154.22 and 1,684.08

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Solution

The fourth proportional to 3,010.62, 4,154.22 and 1,684.08 is: 2,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.62 : 4,154.22 = 1,684.08 : x
  2. Step 2: Convert to fraction form
    3,010.62/4,154.22 = 1,684.08/x
  3. Step 3: Cross multiply
    3,010.62x = 4,154.22 × 1,684.08
  4. Step 4: Simplify right side
    3,010.62x = 6,996,038.82
  5. Step 5: Solve for x
    x = 6,996,038.82/3,010.62
  6. Step 6: Final answer
    x = 2,323.79

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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.