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Finding the Fourth Proportional to 2,368.61, 3,270.20 and 2,119.50

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Solution

The fourth proportional to 2,368.61, 3,270.20 and 2,119.50 is: 2,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.61 : 3,270.20 = 2,119.50 : x
  2. Step 2: Convert to fraction form
    2,368.61/3,270.20 = 2,119.50/x
  3. Step 3: Cross multiply
    2,368.61x = 3,270.20 × 2,119.50
  4. Step 4: Simplify right side
    2,368.61x = 6,931,190.78
  5. Step 5: Solve for x
    x = 6,931,190.78/2,368.61
  6. Step 6: Final answer
    x = 2,926.27

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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.