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Finding the Fourth Proportional to 2,062.28, 2,844.98 and 1,502.50

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Solution

The fourth proportional to 2,062.28, 2,844.98 and 1,502.50 is: 2,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.28 : 2,844.98 = 1,502.50 : x
  2. Step 2: Convert to fraction form
    2,062.28/2,844.98 = 1,502.50/x
  3. Step 3: Cross multiply
    2,062.28x = 2,844.98 × 1,502.50
  4. Step 4: Simplify right side
    2,062.28x = 4,274,582.45
  5. Step 5: Solve for x
    x = 4,274,582.45/2,062.28
  6. Step 6: Final answer
    x = 2,072.75

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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.