Home / 2,020-2,787.72-1,234.24

Finding the Fourth Proportional to 2,020, 2,787.72 and 1,234.24

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Solution

The fourth proportional to 2,020, 2,787.72 and 1,234.24 is: 1,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020 : 2,787.72 = 1,234.24 : x
  2. Step 2: Convert to fraction form
    2,020/2,787.72 = 1,234.24/x
  3. Step 3: Cross multiply
    2,020x = 2,787.72 × 1,234.24
  4. Step 4: Simplify right side
    2,020x = 3,440,715.53
  5. Step 5: Solve for x
    x = 3,440,715.53/2,020
  6. Step 6: Final answer
    x = 1,703.32

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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.