Home / 2,046.25-2,826-1,607.50

Finding the Fourth Proportional to 2,046.25, 2,826 and 1,607.50

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Solution

The fourth proportional to 2,046.25, 2,826 and 1,607.50 is: 2,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.25 : 2,826 = 1,607.50 : x
  2. Step 2: Convert to fraction form
    2,046.25/2,826 = 1,607.50/x
  3. Step 3: Cross multiply
    2,046.25x = 2,826 × 1,607.50
  4. Step 4: Simplify right side
    2,046.25x = 4,542,787.94
  5. Step 5: Solve for x
    x = 4,542,787.94/2,046.25
  6. Step 6: Final answer
    x = 2,220.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.