Home / 1,566.62-2,349.95-412.38

Finding the Fourth Proportional to 1,566.62, 2,349.95 and 412.38

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Solution

The fourth proportional to 1,566.62, 2,349.95 and 412.38 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.62 : 2,349.95 = 412.38 : x
  2. Step 2: Convert to fraction form
    1,566.62/2,349.95 = 412.38/x
  3. Step 3: Cross multiply
    1,566.62x = 2,349.95 × 412.38
  4. Step 4: Simplify right side
    1,566.62x = 969,072.38
  5. Step 5: Solve for x
    x = 969,072.38/1,566.62
  6. Step 6: Final answer
    x = 618.58

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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.