Home / 1,857.53-2,786.32-470.83

Finding the Fourth Proportional to 1,857.53, 2,786.32 and 470.83

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Solution

The fourth proportional to 1,857.53, 2,786.32 and 470.83 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.53 : 2,786.32 = 470.83 : x
  2. Step 2: Convert to fraction form
    1,857.53/2,786.32 = 470.83/x
  3. Step 3: Cross multiply
    1,857.53x = 2,786.32 × 470.83
  4. Step 4: Simplify right side
    1,857.53x = 1,311,886.11
  5. Step 5: Solve for x
    x = 1,311,886.11/1,857.53
  6. Step 6: Final answer
    x = 706.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.