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Finding the Fourth Proportional to 2,470.25, 3,409.04 and 1,351.16

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Solution

The fourth proportional to 2,470.25, 3,409.04 and 1,351.16 is: 1,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.25 : 3,409.04 = 1,351.16 : x
  2. Step 2: Convert to fraction form
    2,470.25/3,409.04 = 1,351.16/x
  3. Step 3: Cross multiply
    2,470.25x = 3,409.04 × 1,351.16
  4. Step 4: Simplify right side
    2,470.25x = 4,606,158.49
  5. Step 5: Solve for x
    x = 4,606,158.49/2,470.25
  6. Step 6: Final answer
    x = 1,864.65

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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.