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Finding the Fourth Proportional to 2,435.68, 3,646.33 and 2,200.57

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Solution

The fourth proportional to 2,435.68, 3,646.33 and 2,200.57 is: 3,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.68 : 3,646.33 = 2,200.57 : x
  2. Step 2: Convert to fraction form
    2,435.68/3,646.33 = 2,200.57/x
  3. Step 3: Cross multiply
    2,435.68x = 3,646.33 × 2,200.57
  4. Step 4: Simplify right side
    2,435.68x = 8,024,004.41
  5. Step 5: Solve for x
    x = 8,024,004.41/2,435.68
  6. Step 6: Final answer
    x = 3,294.36

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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.