Home / 1,535.10-2,302.68-806.10

Finding the Fourth Proportional to 1,535.10, 2,302.68 and 806.10

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Solution

The fourth proportional to 1,535.10, 2,302.68 and 806.10 is: 1,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.10 : 2,302.68 = 806.10 : x
  2. Step 2: Convert to fraction form
    1,535.10/2,302.68 = 806.10/x
  3. Step 3: Cross multiply
    1,535.10x = 2,302.68 × 806.10
  4. Step 4: Simplify right side
    1,535.10x = 1,856,193.15
  5. Step 5: Solve for x
    x = 1,856,193.15/1,535.10
  6. Step 6: Final answer
    x = 1,209.17

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1.5x scale

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.