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Finding the Fourth Proportional to 3,057.84, 4,587.62 and 1,498.73

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Solution

The fourth proportional to 3,057.84, 4,587.62 and 1,498.73 is: 2,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.84 : 4,587.62 = 1,498.73 : x
  2. Step 2: Convert to fraction form
    3,057.84/4,587.62 = 1,498.73/x
  3. Step 3: Cross multiply
    3,057.84x = 4,587.62 × 1,498.73
  4. Step 4: Simplify right side
    3,057.84x = 6,875,573.29
  5. Step 5: Solve for x
    x = 6,875,573.29/3,057.84
  6. Step 6: Final answer
    x = 2,248.51

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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.