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Finding the Fourth Proportional to 3,095.44, 4,271.71 and 1,769.13

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Solution

The fourth proportional to 3,095.44, 4,271.71 and 1,769.13 is: 2,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.44 : 4,271.71 = 1,769.13 : x
  2. Step 2: Convert to fraction form
    3,095.44/4,271.71 = 1,769.13/x
  3. Step 3: Cross multiply
    3,095.44x = 4,271.71 × 1,769.13
  4. Step 4: Simplify right side
    3,095.44x = 7,557,210.31
  5. Step 5: Solve for x
    x = 7,557,210.31/3,095.44
  6. Step 6: Final answer
    x = 2,441.40

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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.