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Finding the Fourth Proportional to 1,628.61, 2,442.34 and 588.35

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Solution

The fourth proportional to 1,628.61, 2,442.34 and 588.35 is: 882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.61 : 2,442.34 = 588.35 : x
  2. Step 2: Convert to fraction form
    1,628.61/2,442.34 = 588.35/x
  3. Step 3: Cross multiply
    1,628.61x = 2,442.34 × 588.35
  4. Step 4: Simplify right side
    1,628.61x = 1,436,940.53
  5. Step 5: Solve for x
    x = 1,436,940.53/1,628.61
  6. Step 6: Final answer
    x = 882.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.