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Finding the Fourth Proportional to 2,437.35, 3,361.71 and 1,640.40

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Solution

The fourth proportional to 2,437.35, 3,361.71 and 1,640.40 is: 2,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.35 : 3,361.71 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    2,437.35/3,361.71 = 1,640.40/x
  3. Step 3: Cross multiply
    2,437.35x = 3,361.71 × 1,640.40
  4. Step 4: Simplify right side
    2,437.35x = 5,514,549.08
  5. Step 5: Solve for x
    x = 5,514,549.08/2,437.35
  6. Step 6: Final answer
    x = 2,262.52

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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.