Home / 1,560.90-2,341.35-406.65

Finding the Fourth Proportional to 1,560.90, 2,341.35 and 406.65

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Solution

The fourth proportional to 1,560.90, 2,341.35 and 406.65 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.90 : 2,341.35 = 406.65 : x
  2. Step 2: Convert to fraction form
    1,560.90/2,341.35 = 406.65/x
  3. Step 3: Cross multiply
    1,560.90x = 2,341.35 × 406.65
  4. Step 4: Simplify right side
    1,560.90x = 952,109.98
  5. Step 5: Solve for x
    x = 952,109.98/1,560.90
  6. Step 6: Final answer
    x = 609.98

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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.