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Finding the Fourth Proportional to 2,775.84, 4,155.66 and 2,404.50

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Solution

The fourth proportional to 2,775.84, 4,155.66 and 2,404.50 is: 3,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.84 : 4,155.66 = 2,404.50 : x
  2. Step 2: Convert to fraction form
    2,775.84/4,155.66 = 2,404.50/x
  3. Step 3: Cross multiply
    2,775.84x = 4,155.66 × 2,404.50
  4. Step 4: Simplify right side
    2,775.84x = 9,992,284.47
  5. Step 5: Solve for x
    x = 9,992,284.47/2,775.84
  6. Step 6: Final answer
    x = 3,599.73

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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.