Home / 1,564.42-2,158.14-1,033.84

Finding the Fourth Proportional to 1,564.42, 2,158.14 and 1,033.84

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Solution

The fourth proportional to 1,564.42, 2,158.14 and 1,033.84 is: 1,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.42 : 2,158.14 = 1,033.84 : x
  2. Step 2: Convert to fraction form
    1,564.42/2,158.14 = 1,033.84/x
  3. Step 3: Cross multiply
    1,564.42x = 2,158.14 × 1,033.84
  4. Step 4: Simplify right side
    1,564.42x = 2,231,171.46
  5. Step 5: Solve for x
    x = 2,231,171.46/1,564.42
  6. Step 6: Final answer
    x = 1,426.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.