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Finding the Fourth Proportional to 2,710.45, 4,066.22 and 1,541.01

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Solution

The fourth proportional to 2,710.45, 4,066.22 and 1,541.01 is: 2,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.45 : 4,066.22 = 1,541.01 : x
  2. Step 2: Convert to fraction form
    2,710.45/4,066.22 = 1,541.01/x
  3. Step 3: Cross multiply
    2,710.45x = 4,066.22 × 1,541.01
  4. Step 4: Simplify right side
    2,710.45x = 6,266,077.98
  5. Step 5: Solve for x
    x = 6,266,077.98/2,710.45
  6. Step 6: Final answer
    x = 2,311.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.