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Finding the Fourth Proportional to 3,010.40, 4,154.08 and 1,684

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Solution

The fourth proportional to 3,010.40, 4,154.08 and 1,684 is: 2,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.40 : 4,154.08 = 1,684 : x
  2. Step 2: Convert to fraction form
    3,010.40/4,154.08 = 1,684/x
  3. Step 3: Cross multiply
    3,010.40x = 4,154.08 × 1,684
  4. Step 4: Simplify right side
    3,010.40x = 6,995,470.72
  5. Step 5: Solve for x
    x = 6,995,470.72/3,010.40
  6. Step 6: Final answer
    x = 2,323.77

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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.