Home / 1,923.81-2,885.90-537.14

Finding the Fourth Proportional to 1,923.81, 2,885.90 and 537.14

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Solution

The fourth proportional to 1,923.81, 2,885.90 and 537.14 is: 805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.81 : 2,885.90 = 537.14 : x
  2. Step 2: Convert to fraction form
    1,923.81/2,885.90 = 537.14/x
  3. Step 3: Cross multiply
    1,923.81x = 2,885.90 × 537.14
  4. Step 4: Simplify right side
    1,923.81x = 1,550,115.21
  5. Step 5: Solve for x
    x = 1,550,115.21/1,923.81
  6. Step 6: Final answer
    x = 805.75

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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.