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Finding the Fourth Proportional to 2,228.04, 3,342.06 and 584.58

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Solution

The fourth proportional to 2,228.04, 3,342.06 and 584.58 is: 876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.04 : 3,342.06 = 584.58 : x
  2. Step 2: Convert to fraction form
    2,228.04/3,342.06 = 584.58/x
  3. Step 3: Cross multiply
    2,228.04x = 3,342.06 × 584.58
  4. Step 4: Simplify right side
    2,228.04x = 1,953,701.43
  5. Step 5: Solve for x
    x = 1,953,701.43/2,228.04
  6. Step 6: Final answer
    x = 876.87

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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.