Home / 1,509.16-2,259.90-1,022.92

Finding the Fourth Proportional to 1,509.16, 2,259.90 and 1,022.92

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Solution

The fourth proportional to 1,509.16, 2,259.90 and 1,022.92 is: 1,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.16 : 2,259.90 = 1,022.92 : x
  2. Step 2: Convert to fraction form
    1,509.16/2,259.90 = 1,022.92/x
  3. Step 3: Cross multiply
    1,509.16x = 2,259.90 × 1,022.92
  4. Step 4: Simplify right side
    1,509.16x = 2,311,696.91
  5. Step 5: Solve for x
    x = 2,311,696.91/1,509.16
  6. Step 6: Final answer
    x = 1,531.78

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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.