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Finding the Fourth Proportional to 2,318.42, 3,473.80 and 1,702.37

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Solution

The fourth proportional to 2,318.42, 3,473.80 and 1,702.37 is: 2,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.42 : 3,473.80 = 1,702.37 : x
  2. Step 2: Convert to fraction form
    2,318.42/3,473.80 = 1,702.37/x
  3. Step 3: Cross multiply
    2,318.42x = 3,473.80 × 1,702.37
  4. Step 4: Simplify right side
    2,318.42x = 5,913,671.28
  5. Step 5: Solve for x
    x = 5,913,671.28/2,318.42
  6. Step 6: Final answer
    x = 2,550.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.