Home / 1,787.25-2,464.80-1,157.12

Finding the Fourth Proportional to 1,787.25, 2,464.80 and 1,157.12

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Solution

The fourth proportional to 1,787.25, 2,464.80 and 1,157.12 is: 1,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.25 : 2,464.80 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    1,787.25/2,464.80 = 1,157.12/x
  3. Step 3: Cross multiply
    1,787.25x = 2,464.80 × 1,157.12
  4. Step 4: Simplify right side
    1,787.25x = 2,852,061.96
  5. Step 5: Solve for x
    x = 2,852,061.96/1,787.25
  6. Step 6: Final answer
    x = 1,595.79

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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.