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Finding the Fourth Proportional to 2,973.01, 4,102.11 and 1,777.83

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Solution

The fourth proportional to 2,973.01, 4,102.11 and 1,777.83 is: 2,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.01 : 4,102.11 = 1,777.83 : x
  2. Step 2: Convert to fraction form
    2,973.01/4,102.11 = 1,777.83/x
  3. Step 3: Cross multiply
    2,973.01x = 4,102.11 × 1,777.83
  4. Step 4: Simplify right side
    2,973.01x = 7,292,854.22
  5. Step 5: Solve for x
    x = 7,292,854.22/2,973.01
  6. Step 6: Final answer
    x = 2,453.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.