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Finding the Fourth Proportional to 1,580.81, 2,371.22 and 540.83

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Solution

The fourth proportional to 1,580.81, 2,371.22 and 540.83 is: 811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.81 : 2,371.22 = 540.83 : x
  2. Step 2: Convert to fraction form
    1,580.81/2,371.22 = 540.83/x
  3. Step 3: Cross multiply
    1,580.81x = 2,371.22 × 540.83
  4. Step 4: Simplify right side
    1,580.81x = 1,282,412.35
  5. Step 5: Solve for x
    x = 1,282,412.35/1,580.81
  6. Step 6: Final answer
    x = 811.24

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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.