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Finding the Fourth Proportional to 2,810.14, 4,209.78 and 1,573.78

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Solution

The fourth proportional to 2,810.14, 4,209.78 and 1,573.78 is: 2,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.14 : 4,209.78 = 1,573.78 : x
  2. Step 2: Convert to fraction form
    2,810.14/4,209.78 = 1,573.78/x
  3. Step 3: Cross multiply
    2,810.14x = 4,209.78 × 1,573.78
  4. Step 4: Simplify right side
    2,810.14x = 6,625,267.57
  5. Step 5: Solve for x
    x = 6,625,267.57/2,810.14
  6. Step 6: Final answer
    x = 2,357.63

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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.