Home / 1,566.24-2,349.06-786.03

Finding the Fourth Proportional to 1,566.24, 2,349.06 and 786.03

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Solution

The fourth proportional to 1,566.24, 2,349.06 and 786.03 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.24 : 2,349.06 = 786.03 : x
  2. Step 2: Convert to fraction form
    1,566.24/2,349.06 = 786.03/x
  3. Step 3: Cross multiply
    1,566.24x = 2,349.06 × 786.03
  4. Step 4: Simplify right side
    1,566.24x = 1,846,425.39
  5. Step 5: Solve for x
    x = 1,846,425.39/1,566.24
  6. Step 6: Final answer
    x = 1,178.89

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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.