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Finding the Fourth Proportional to 2,762.01, 4,141.47 and 1,442.46

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Solution

The fourth proportional to 2,762.01, 4,141.47 and 1,442.46 is: 2,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.01 : 4,141.47 = 1,442.46 : x
  2. Step 2: Convert to fraction form
    2,762.01/4,141.47 = 1,442.46/x
  3. Step 3: Cross multiply
    2,762.01x = 4,141.47 × 1,442.46
  4. Step 4: Simplify right side
    2,762.01x = 5,973,904.82
  5. Step 5: Solve for x
    x = 5,973,904.82/2,762.01
  6. Step 6: Final answer
    x = 2,162.88

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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.