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Finding the Fourth Proportional to 3,066.54, 4,592.52 and 2,089.68

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Solution

The fourth proportional to 3,066.54, 4,592.52 and 2,089.68 is: 3,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.54 : 4,592.52 = 2,089.68 : x
  2. Step 2: Convert to fraction form
    3,066.54/4,592.52 = 2,089.68/x
  3. Step 3: Cross multiply
    3,066.54x = 4,592.52 × 2,089.68
  4. Step 4: Simplify right side
    3,066.54x = 9,596,897.19
  5. Step 5: Solve for x
    x = 9,596,897.19/3,066.54
  6. Step 6: Final answer
    x = 3,129.55

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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.