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Finding the Fourth Proportional to 2,470.59, 3,409.55 and 1,422.65

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Solution

The fourth proportional to 2,470.59, 3,409.55 and 1,422.65 is: 1,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.59 : 3,409.55 = 1,422.65 : x
  2. Step 2: Convert to fraction form
    2,470.59/3,409.55 = 1,422.65/x
  3. Step 3: Cross multiply
    2,470.59x = 3,409.55 × 1,422.65
  4. Step 4: Simplify right side
    2,470.59x = 4,850,572.15
  5. Step 5: Solve for x
    x = 4,850,572.15/2,470.59
  6. Step 6: Final answer
    x = 1,963.33

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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.