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Finding the Fourth Proportional to 3,410.64, 4,706.87 and 1,918.65

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Solution

The fourth proportional to 3,410.64, 4,706.87 and 1,918.65 is: 2,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.64 : 4,706.87 = 1,918.65 : x
  2. Step 2: Convert to fraction form
    3,410.64/4,706.87 = 1,918.65/x
  3. Step 3: Cross multiply
    3,410.64x = 4,706.87 × 1,918.65
  4. Step 4: Simplify right side
    3,410.64x = 9,030,826.53
  5. Step 5: Solve for x
    x = 9,030,826.53/3,410.64
  6. Step 6: Final answer
    x = 2,647.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.