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Finding the Fourth Proportional to 2,873.80, 4,307.64 and 1,638.55

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Solution

The fourth proportional to 2,873.80, 4,307.64 and 1,638.55 is: 2,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.80 : 4,307.64 = 1,638.55 : x
  2. Step 2: Convert to fraction form
    2,873.80/4,307.64 = 1,638.55/x
  3. Step 3: Cross multiply
    2,873.80x = 4,307.64 × 1,638.55
  4. Step 4: Simplify right side
    2,873.80x = 7,058,283.52
  5. Step 5: Solve for x
    x = 7,058,283.52/2,873.80
  6. Step 6: Final answer
    x = 2,456.08

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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.