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Finding the Fourth Proportional to 2,774.79, 4,164.08 and 1,477.17

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Solution

The fourth proportional to 2,774.79, 4,164.08 and 1,477.17 is: 2,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.79 : 4,164.08 = 1,477.17 : x
  2. Step 2: Convert to fraction form
    2,774.79/4,164.08 = 1,477.17/x
  3. Step 3: Cross multiply
    2,774.79x = 4,164.08 × 1,477.17
  4. Step 4: Simplify right side
    2,774.79x = 6,151,046.67
  5. Step 5: Solve for x
    x = 6,151,046.67/2,774.79
  6. Step 6: Final answer
    x = 2,216.76

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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.