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Finding the Fourth Proportional to 1,872.35, 2,788.90 and 1,777.58

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Solution

The fourth proportional to 1,872.35, 2,788.90 and 1,777.58 is: 2,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.35 : 2,788.90 = 1,777.58 : x
  2. Step 2: Convert to fraction form
    1,872.35/2,788.90 = 1,777.58/x
  3. Step 3: Cross multiply
    1,872.35x = 2,788.90 × 1,777.58
  4. Step 4: Simplify right side
    1,872.35x = 4,957,484.93
  5. Step 5: Solve for x
    x = 4,957,484.93/1,872.35
  6. Step 6: Final answer
    x = 2,647.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.