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Finding the Fourth Proportional to 2,369.78, 3,268.82 and 1,530.16

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Solution

The fourth proportional to 2,369.78, 3,268.82 and 1,530.16 is: 2,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.78 : 3,268.82 = 1,530.16 : x
  2. Step 2: Convert to fraction form
    2,369.78/3,268.82 = 1,530.16/x
  3. Step 3: Cross multiply
    2,369.78x = 3,268.82 × 1,530.16
  4. Step 4: Simplify right side
    2,369.78x = 5,001,817.61
  5. Step 5: Solve for x
    x = 5,001,817.61/2,369.78
  6. Step 6: Final answer
    x = 2,110.67

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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.