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Finding the Fourth Proportional to 2,051.32, 3,078.32 and 1,127.52

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Solution

The fourth proportional to 2,051.32, 3,078.32 and 1,127.52 is: 1,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.32 : 3,078.32 = 1,127.52 : x
  2. Step 2: Convert to fraction form
    2,051.32/3,078.32 = 1,127.52/x
  3. Step 3: Cross multiply
    2,051.32x = 3,078.32 × 1,127.52
  4. Step 4: Simplify right side
    2,051.32x = 3,470,867.37
  5. Step 5: Solve for x
    x = 3,470,867.37/2,051.32
  6. Step 6: Final answer
    x = 1,692.02

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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.