Home / 1,535.16-2,303.37-805.22

Finding the Fourth Proportional to 1,535.16, 2,303.37 and 805.22

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Solution

The fourth proportional to 1,535.16, 2,303.37 and 805.22 is: 1,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.16 : 2,303.37 = 805.22 : x
  2. Step 2: Convert to fraction form
    1,535.16/2,303.37 = 805.22/x
  3. Step 3: Cross multiply
    1,535.16x = 2,303.37 × 805.22
  4. Step 4: Simplify right side
    1,535.16x = 1,854,708.07
  5. Step 5: Solve for x
    x = 1,854,708.07/1,535.16
  6. Step 6: Final answer
    x = 1,208.15

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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.