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Finding the Fourth Proportional to 2,775.60, 4,164.63 and 1,476.75

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Solution

The fourth proportional to 2,775.60, 4,164.63 and 1,476.75 is: 2,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.60 : 4,164.63 = 1,476.75 : x
  2. Step 2: Convert to fraction form
    2,775.60/4,164.63 = 1,476.75/x
  3. Step 3: Cross multiply
    2,775.60x = 4,164.63 × 1,476.75
  4. Step 4: Simplify right side
    2,775.60x = 6,150,117.35
  5. Step 5: Solve for x
    x = 6,150,117.35/2,775.60
  6. Step 6: Final answer
    x = 2,215.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.