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Finding the Fourth Proportional to 2,073.36, 2,854.80 and 1,777.44

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Solution

The fourth proportional to 2,073.36, 2,854.80 and 1,777.44 is: 2,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.36 : 2,854.80 = 1,777.44 : x
  2. Step 2: Convert to fraction form
    2,073.36/2,854.80 = 1,777.44/x
  3. Step 3: Cross multiply
    2,073.36x = 2,854.80 × 1,777.44
  4. Step 4: Simplify right side
    2,073.36x = 5,074,235.71
  5. Step 5: Solve for x
    x = 5,074,235.71/2,073.36
  6. Step 6: Final answer
    x = 2,447.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.