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Finding the Fourth Proportional to 2,602.16, 3,903.48 and 1,950.80

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Solution

The fourth proportional to 2,602.16, 3,903.48 and 1,950.80 is: 2,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.16 : 3,903.48 = 1,950.80 : x
  2. Step 2: Convert to fraction form
    2,602.16/3,903.48 = 1,950.80/x
  3. Step 3: Cross multiply
    2,602.16x = 3,903.48 × 1,950.80
  4. Step 4: Simplify right side
    2,602.16x = 7,614,908.78
  5. Step 5: Solve for x
    x = 7,614,908.78/2,602.16
  6. Step 6: Final answer
    x = 2,926.38

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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.