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Finding the Fourth Proportional to 2,051.48, 3,078.30 and 1,186.40

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Solution

The fourth proportional to 2,051.48, 3,078.30 and 1,186.40 is: 1,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.48 : 3,078.30 = 1,186.40 : x
  2. Step 2: Convert to fraction form
    2,051.48/3,078.30 = 1,186.40/x
  3. Step 3: Cross multiply
    2,051.48x = 3,078.30 × 1,186.40
  4. Step 4: Simplify right side
    2,051.48x = 3,652,079.73
  5. Step 5: Solve for x
    x = 3,652,079.73/2,051.48
  6. Step 6: Final answer
    x = 1,780.22

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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.