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Finding the Fourth Proportional to 2,365.66, 3,546.33 and 1,066.42

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Solution

The fourth proportional to 2,365.66, 3,546.33 and 1,066.42 is: 1,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.66 : 3,546.33 = 1,066.42 : x
  2. Step 2: Convert to fraction form
    2,365.66/3,546.33 = 1,066.42/x
  3. Step 3: Cross multiply
    2,365.66x = 3,546.33 × 1,066.42
  4. Step 4: Simplify right side
    2,365.66x = 3,781,877.24
  5. Step 5: Solve for x
    x = 3,781,877.24/2,365.66
  6. Step 6: Final answer
    x = 1,598.66

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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.