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Finding the Fourth Proportional to 2,470.83, 3,406.95 and 2,021.28

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Solution

The fourth proportional to 2,470.83, 3,406.95 and 2,021.28 is: 2,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.83 : 3,406.95 = 2,021.28 : x
  2. Step 2: Convert to fraction form
    2,470.83/3,406.95 = 2,021.28/x
  3. Step 3: Cross multiply
    2,470.83x = 3,406.95 × 2,021.28
  4. Step 4: Simplify right side
    2,470.83x = 6,886,399.90
  5. Step 5: Solve for x
    x = 6,886,399.90/2,470.83
  6. Step 6: Final answer
    x = 2,787.08

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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.