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Finding the Fourth Proportional to 3,045.94, 4,569.54 and 1,197.22

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Solution

The fourth proportional to 3,045.94, 4,569.54 and 1,197.22 is: 1,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.94 : 4,569.54 = 1,197.22 : x
  2. Step 2: Convert to fraction form
    3,045.94/4,569.54 = 1,197.22/x
  3. Step 3: Cross multiply
    3,045.94x = 4,569.54 × 1,197.22
  4. Step 4: Simplify right side
    3,045.94x = 5,470,744.68
  5. Step 5: Solve for x
    x = 5,470,744.68/3,045.94
  6. Step 6: Final answer
    x = 1,796.08

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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.