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Finding the Fourth Proportional to 2,775.90, 4,159.74 and 1,214.49

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Solution

The fourth proportional to 2,775.90, 4,159.74 and 1,214.49 is: 1,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.90 : 4,159.74 = 1,214.49 : x
  2. Step 2: Convert to fraction form
    2,775.90/4,159.74 = 1,214.49/x
  3. Step 3: Cross multiply
    2,775.90x = 4,159.74 × 1,214.49
  4. Step 4: Simplify right side
    2,775.90x = 5,051,962.63
  5. Step 5: Solve for x
    x = 5,051,962.63/2,775.90
  6. Step 6: Final answer
    x = 1,819.94

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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.