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Finding the Fourth Proportional to 2,403.64, 3,317 and 1,355.68

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Solution

The fourth proportional to 2,403.64, 3,317 and 1,355.68 is: 1,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.64 : 3,317 = 1,355.68 : x
  2. Step 2: Convert to fraction form
    2,403.64/3,317 = 1,355.68/x
  3. Step 3: Cross multiply
    2,403.64x = 3,317 × 1,355.68
  4. Step 4: Simplify right side
    2,403.64x = 4,496,790.56
  5. Step 5: Solve for x
    x = 4,496,790.56/2,403.64
  6. Step 6: Final answer
    x = 1,870.83

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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.