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Finding the Fourth Proportional to 2,032.28, 2,823.32 and 2,014.28

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Solution

The fourth proportional to 2,032.28, 2,823.32 and 2,014.28 is: 2,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.28 : 2,823.32 = 2,014.28 : x
  2. Step 2: Convert to fraction form
    2,032.28/2,823.32 = 2,014.28/x
  3. Step 3: Cross multiply
    2,032.28x = 2,823.32 × 2,014.28
  4. Step 4: Simplify right side
    2,032.28x = 5,686,957.01
  5. Step 5: Solve for x
    x = 5,686,957.01/2,032.28
  6. Step 6: Final answer
    x = 2,798.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.