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Finding the Fourth Proportional to 2,507.95, 3,762.39 and 1,121.34

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Solution

The fourth proportional to 2,507.95, 3,762.39 and 1,121.34 is: 1,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.95 : 3,762.39 = 1,121.34 : x
  2. Step 2: Convert to fraction form
    2,507.95/3,762.39 = 1,121.34/x
  3. Step 3: Cross multiply
    2,507.95x = 3,762.39 × 1,121.34
  4. Step 4: Simplify right side
    2,507.95x = 4,218,909.00
  5. Step 5: Solve for x
    x = 4,218,909.00/2,507.95
  6. Step 6: Final answer
    x = 1,682.22

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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.