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Finding the Fourth Proportional to 1,855.78, 2,780.73 and 1,507.42

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Solution

The fourth proportional to 1,855.78, 2,780.73 and 1,507.42 is: 2,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.78 : 2,780.73 = 1,507.42 : x
  2. Step 2: Convert to fraction form
    1,855.78/2,780.73 = 1,507.42/x
  3. Step 3: Cross multiply
    1,855.78x = 2,780.73 × 1,507.42
  4. Step 4: Simplify right side
    1,855.78x = 4,191,728.02
  5. Step 5: Solve for x
    x = 4,191,728.02/1,855.78
  6. Step 6: Final answer
    x = 2,258.74

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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.