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Finding the Fourth Proportional to 2,267.94, 3,129.86 and 1,428.32

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Solution

The fourth proportional to 2,267.94, 3,129.86 and 1,428.32 is: 1,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.94 : 3,129.86 = 1,428.32 : x
  2. Step 2: Convert to fraction form
    2,267.94/3,129.86 = 1,428.32/x
  3. Step 3: Cross multiply
    2,267.94x = 3,129.86 × 1,428.32
  4. Step 4: Simplify right side
    2,267.94x = 4,470,418.84
  5. Step 5: Solve for x
    x = 4,470,418.84/2,267.94
  6. Step 6: Final answer
    x = 1,971.14

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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.