Home / 1,538.16-2,303.12-806.19

Finding the Fourth Proportional to 1,538.16, 2,303.12 and 806.19

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Solution

The fourth proportional to 1,538.16, 2,303.12 and 806.19 is: 1,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.16 : 2,303.12 = 806.19 : x
  2. Step 2: Convert to fraction form
    1,538.16/2,303.12 = 806.19/x
  3. Step 3: Cross multiply
    1,538.16x = 2,303.12 × 806.19
  4. Step 4: Simplify right side
    1,538.16x = 1,856,752.31
  5. Step 5: Solve for x
    x = 1,856,752.31/1,538.16
  6. Step 6: Final answer
    x = 1,207.13

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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.