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Finding the Fourth Proportional to 2,404.46, 3,317.40 and 1,409.72

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Solution

The fourth proportional to 2,404.46, 3,317.40 and 1,409.72 is: 1,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.46 : 3,317.40 = 1,409.72 : x
  2. Step 2: Convert to fraction form
    2,404.46/3,317.40 = 1,409.72/x
  3. Step 3: Cross multiply
    2,404.46x = 3,317.40 × 1,409.72
  4. Step 4: Simplify right side
    2,404.46x = 4,676,605.13
  5. Step 5: Solve for x
    x = 4,676,605.13/2,404.46
  6. Step 6: Final answer
    x = 1,944.97

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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.