Home / 1,566.16-2,349.25-411.91

Finding the Fourth Proportional to 1,566.16, 2,349.25 and 411.91

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Solution

The fourth proportional to 1,566.16, 2,349.25 and 411.91 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.16 : 2,349.25 = 411.91 : x
  2. Step 2: Convert to fraction form
    1,566.16/2,349.25 = 411.91/x
  3. Step 3: Cross multiply
    1,566.16x = 2,349.25 × 411.91
  4. Step 4: Simplify right side
    1,566.16x = 967,667.82
  5. Step 5: Solve for x
    x = 967,667.82/1,566.16
  6. Step 6: Final answer
    x = 617.86

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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.