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Finding the Fourth Proportional to 1,604.88, 2,228.58 and 1,591.92

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Solution

The fourth proportional to 1,604.88, 2,228.58 and 1,591.92 is: 2,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.88 : 2,228.58 = 1,591.92 : x
  2. Step 2: Convert to fraction form
    1,604.88/2,228.58 = 1,591.92/x
  3. Step 3: Cross multiply
    1,604.88x = 2,228.58 × 1,591.92
  4. Step 4: Simplify right side
    1,604.88x = 3,547,721.07
  5. Step 5: Solve for x
    x = 3,547,721.07/1,604.88
  6. Step 6: Final answer
    x = 2,210.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.