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Finding the Fourth Proportional to 2,835, 4,247.78 and 1,187.87

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Solution

The fourth proportional to 2,835, 4,247.78 and 1,187.87 is: 1,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835 : 4,247.78 = 1,187.87 : x
  2. Step 2: Convert to fraction form
    2,835/4,247.78 = 1,187.87/x
  3. Step 3: Cross multiply
    2,835x = 4,247.78 × 1,187.87
  4. Step 4: Simplify right side
    2,835x = 5,045,783.25
  5. Step 5: Solve for x
    x = 5,045,783.25/2,835
  6. Step 6: Final answer
    x = 1,779.82

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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.