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Finding the Fourth Proportional to 1,820.71, 2,731.08 and 588.10

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Solution

The fourth proportional to 1,820.71, 2,731.08 and 588.10 is: 882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.71 : 2,731.08 = 588.10 : x
  2. Step 2: Convert to fraction form
    1,820.71/2,731.08 = 588.10/x
  3. Step 3: Cross multiply
    1,820.71x = 2,731.08 × 588.10
  4. Step 4: Simplify right side
    1,820.71x = 1,606,148.15
  5. Step 5: Solve for x
    x = 1,606,148.15/1,820.71
  6. Step 6: Final answer
    x = 882.15

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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.