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Finding the Fourth Proportional to 3,346, 5,020.05 and 1,498.69

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Solution

The fourth proportional to 3,346, 5,020.05 and 1,498.69 is: 2,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346 : 5,020.05 = 1,498.69 : x
  2. Step 2: Convert to fraction form
    3,346/5,020.05 = 1,498.69/x
  3. Step 3: Cross multiply
    3,346x = 5,020.05 × 1,498.69
  4. Step 4: Simplify right side
    3,346x = 7,523,498.73
  5. Step 5: Solve for x
    x = 7,523,498.73/3,346
  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.