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Finding the Fourth Proportional to 1,772.42, 2,656.20 and 1,121.99

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Solution

The fourth proportional to 1,772.42, 2,656.20 and 1,121.99 is: 1,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.42 : 2,656.20 = 1,121.99 : x
  2. Step 2: Convert to fraction form
    1,772.42/2,656.20 = 1,121.99/x
  3. Step 3: Cross multiply
    1,772.42x = 2,656.20 × 1,121.99
  4. Step 4: Simplify right side
    1,772.42x = 2,980,229.84
  5. Step 5: Solve for x
    x = 2,980,229.84/1,772.42
  6. Step 6: Final answer
    x = 1,681.45

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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.