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Finding the Fourth Proportional to 3,026.54, 4,542.53 and 1,566.71

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Solution

The fourth proportional to 3,026.54, 4,542.53 and 1,566.71 is: 2,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.54 : 4,542.53 = 1,566.71 : x
  2. Step 2: Convert to fraction form
    3,026.54/4,542.53 = 1,566.71/x
  3. Step 3: Cross multiply
    3,026.54x = 4,542.53 × 1,566.71
  4. Step 4: Simplify right side
    3,026.54x = 7,116,796.63
  5. Step 5: Solve for x
    x = 7,116,796.63/3,026.54
  6. Step 6: Final answer
    x = 2,351.47

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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.