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Finding the Fourth Proportional to 3,122.01, 4,681.70 and 1,271.86

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Solution

The fourth proportional to 3,122.01, 4,681.70 and 1,271.86 is: 1,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.01 : 4,681.70 = 1,271.86 : x
  2. Step 2: Convert to fraction form
    3,122.01/4,681.70 = 1,271.86/x
  3. Step 3: Cross multiply
    3,122.01x = 4,681.70 × 1,271.86
  4. Step 4: Simplify right side
    3,122.01x = 5,954,466.96
  5. Step 5: Solve for x
    x = 5,954,466.96/3,122.01
  6. Step 6: Final answer
    x = 1,907.25

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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.