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Finding the Fourth Proportional to 1,628.01, 2,442.04 and 588.09

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Solution

The fourth proportional to 1,628.01, 2,442.04 and 588.09 is: 882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.01 : 2,442.04 = 588.09 : x
  2. Step 2: Convert to fraction form
    1,628.01/2,442.04 = 588.09/x
  3. Step 3: Cross multiply
    1,628.01x = 2,442.04 × 588.09
  4. Step 4: Simplify right side
    1,628.01x = 1,436,139.30
  5. Step 5: Solve for x
    x = 1,436,139.30/1,628.01
  6. Step 6: Final answer
    x = 882.14

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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.