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Finding the Fourth Proportional to 2,775.88, 4,164.54 and 1,477

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Solution

The fourth proportional to 2,775.88, 4,164.54 and 1,477 is: 2,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.88 : 4,164.54 = 1,477 : x
  2. Step 2: Convert to fraction form
    2,775.88/4,164.54 = 1,477/x
  3. Step 3: Cross multiply
    2,775.88x = 4,164.54 × 1,477
  4. Step 4: Simplify right side
    2,775.88x = 6,151,025.58
  5. Step 5: Solve for x
    x = 6,151,025.58/2,775.88
  6. Step 6: Final answer
    x = 2,215.88

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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.