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Finding the Fourth Proportional to 2,405.39, 3,603.29 and 1,581.17

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Solution

The fourth proportional to 2,405.39, 3,603.29 and 1,581.17 is: 2,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.39 : 3,603.29 = 1,581.17 : x
  2. Step 2: Convert to fraction form
    2,405.39/3,603.29 = 1,581.17/x
  3. Step 3: Cross multiply
    2,405.39x = 3,603.29 × 1,581.17
  4. Step 4: Simplify right side
    2,405.39x = 5,697,388.13
  5. Step 5: Solve for x
    x = 5,697,388.13/2,405.39
  6. Step 6: Final answer
    x = 2,368.60

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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.