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Finding the Fourth Proportional to 2,233.47, 3,089.14 and 1,766.00

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Solution

The fourth proportional to 2,233.47, 3,089.14 and 1,766.00 is: 2,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.47 : 3,089.14 = 1,766.00 : x
  2. Step 2: Convert to fraction form
    2,233.47/3,089.14 = 1,766.00/x
  3. Step 3: Cross multiply
    2,233.47x = 3,089.14 × 1,766.00
  4. Step 4: Simplify right side
    2,233.47x = 5,455,424.55
  5. Step 5: Solve for x
    x = 5,455,424.55/2,233.47
  6. Step 6: Final answer
    x = 2,442.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.