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Finding the Fourth Proportional to 2,774.69, 4,153.78 and 1,675.72

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Solution

The fourth proportional to 2,774.69, 4,153.78 and 1,675.72 is: 2,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.69 : 4,153.78 = 1,675.72 : x
  2. Step 2: Convert to fraction form
    2,774.69/4,153.78 = 1,675.72/x
  3. Step 3: Cross multiply
    2,774.69x = 4,153.78 × 1,675.72
  4. Step 4: Simplify right side
    2,774.69x = 6,960,579.51
  5. Step 5: Solve for x
    x = 6,960,579.51/2,774.69
  6. Step 6: Final answer
    x = 2,508.60

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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.