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Finding the Fourth Proportional to 2,848.24, 4,274.82 and 1,876.24

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Solution

The fourth proportional to 2,848.24, 4,274.82 and 1,876.24 is: 2,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.24 : 4,274.82 = 1,876.24 : x
  2. Step 2: Convert to fraction form
    2,848.24/4,274.82 = 1,876.24/x
  3. Step 3: Cross multiply
    2,848.24x = 4,274.82 × 1,876.24
  4. Step 4: Simplify right side
    2,848.24x = 8,020,588.28
  5. Step 5: Solve for x
    x = 8,020,588.28/2,848.24
  6. Step 6: Final answer
    x = 2,815.98

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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.