Home / 1,820.71-2,731.05-522.17

Finding the Fourth Proportional to 1,820.71, 2,731.05 and 522.17

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Solution

The fourth proportional to 1,820.71, 2,731.05 and 522.17 is: 783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.71 : 2,731.05 = 522.17 : x
  2. Step 2: Convert to fraction form
    1,820.71/2,731.05 = 522.17/x
  3. Step 3: Cross multiply
    1,820.71x = 2,731.05 × 522.17
  4. Step 4: Simplify right side
    1,820.71x = 1,426,069.77
  5. Step 5: Solve for x
    x = 1,426,069.77/1,820.71
  6. Step 6: Final answer
    x = 783.25

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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.