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Finding the Fourth Proportional to 2,470.49, 3,409.46 and 1,685.60

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Solution

The fourth proportional to 2,470.49, 3,409.46 and 1,685.60 is: 2,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.49 : 3,409.46 = 1,685.60 : x
  2. Step 2: Convert to fraction form
    2,470.49/3,409.46 = 1,685.60/x
  3. Step 3: Cross multiply
    2,470.49x = 3,409.46 × 1,685.60
  4. Step 4: Simplify right side
    2,470.49x = 5,746,985.78
  5. Step 5: Solve for x
    x = 5,746,985.78/2,470.49
  6. Step 6: Final answer
    x = 2,326.25

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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.