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Finding the Fourth Proportional to 3,411.59, 4,708.05 and 2,085.02

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Solution

The fourth proportional to 3,411.59, 4,708.05 and 2,085.02 is: 2,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.59 : 4,708.05 = 2,085.02 : x
  2. Step 2: Convert to fraction form
    3,411.59/4,708.05 = 2,085.02/x
  3. Step 3: Cross multiply
    3,411.59x = 4,708.05 × 2,085.02
  4. Step 4: Simplify right side
    3,411.59x = 9,816,378.41
  5. Step 5: Solve for x
    x = 9,816,378.41/3,411.59
  6. Step 6: Final answer
    x = 2,877.36

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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.