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Finding the Fourth Proportional to 2,926.71, 4,035.40 and 2,365.44

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Solution

The fourth proportional to 2,926.71, 4,035.40 and 2,365.44 is: 3,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.71 : 4,035.40 = 2,365.44 : x
  2. Step 2: Convert to fraction form
    2,926.71/4,035.40 = 2,365.44/x
  3. Step 3: Cross multiply
    2,926.71x = 4,035.40 × 2,365.44
  4. Step 4: Simplify right side
    2,926.71x = 9,545,475.53
  5. Step 5: Solve for x
    x = 9,545,475.53/2,926.71
  6. Step 6: Final answer
    x = 3,261.50

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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.