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Finding the Fourth Proportional to 2,470.40, 3,409.07 and 1,351.35

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Solution

The fourth proportional to 2,470.40, 3,409.07 and 1,351.35 is: 1,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.40 : 3,409.07 = 1,351.35 : x
  2. Step 2: Convert to fraction form
    2,470.40/3,409.07 = 1,351.35/x
  3. Step 3: Cross multiply
    2,470.40x = 3,409.07 × 1,351.35
  4. Step 4: Simplify right side
    2,470.40x = 4,606,839.99
  5. Step 5: Solve for x
    x = 4,606,839.99/2,470.40
  6. Step 6: Final answer
    x = 1,864.82

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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.