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Finding the Fourth Proportional to 3,411.74, 5,113.35 and 1,461.68

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Solution

The fourth proportional to 3,411.74, 5,113.35 and 1,461.68 is: 2,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.74 : 5,113.35 = 1,461.68 : x
  2. Step 2: Convert to fraction form
    3,411.74/5,113.35 = 1,461.68/x
  3. Step 3: Cross multiply
    3,411.74x = 5,113.35 × 1,461.68
  4. Step 4: Simplify right side
    3,411.74x = 7,474,081.43
  5. Step 5: Solve for x
    x = 7,474,081.43/3,411.74
  6. Step 6: Final answer
    x = 2,190.69

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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.