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Finding the Fourth Proportional to 2,419.79, 3,626.69 and 1,031.99

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Solution

The fourth proportional to 2,419.79, 3,626.69 and 1,031.99 is: 1,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.79 : 3,626.69 = 1,031.99 : x
  2. Step 2: Convert to fraction form
    2,419.79/3,626.69 = 1,031.99/x
  3. Step 3: Cross multiply
    2,419.79x = 3,626.69 × 1,031.99
  4. Step 4: Simplify right side
    2,419.79x = 3,742,684.52
  5. Step 5: Solve for x
    x = 3,742,684.52/2,419.79
  6. Step 6: Final answer
    x = 1,546.70

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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.