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Finding the Fourth Proportional to 2,886.42, 3,985.17 and 1,768.50

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Solution

The fourth proportional to 2,886.42, 3,985.17 and 1,768.50 is: 2,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.42 : 3,985.17 = 1,768.50 : x
  2. Step 2: Convert to fraction form
    2,886.42/3,985.17 = 1,768.50/x
  3. Step 3: Cross multiply
    2,886.42x = 3,985.17 × 1,768.50
  4. Step 4: Simplify right side
    2,886.42x = 7,047,773.15
  5. Step 5: Solve for x
    x = 7,047,773.15/2,886.42
  6. Step 6: Final answer
    x = 2,441.70

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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.