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Finding the Fourth Proportional to 3,271.65, 4,907.77 and 1,191.87

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Solution

The fourth proportional to 3,271.65, 4,907.77 and 1,191.87 is: 1,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.65 : 4,907.77 = 1,191.87 : x
  2. Step 2: Convert to fraction form
    3,271.65/4,907.77 = 1,191.87/x
  3. Step 3: Cross multiply
    3,271.65x = 4,907.77 × 1,191.87
  4. Step 4: Simplify right side
    3,271.65x = 5,849,423.83
  5. Step 5: Solve for x
    x = 5,849,423.83/3,271.65
  6. Step 6: Final answer
    x = 1,787.91

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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.