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Finding the Fourth Proportional to 2,147.36, 3,216.92 and 1,051.12

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Solution

The fourth proportional to 2,147.36, 3,216.92 and 1,051.12 is: 1,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.36 : 3,216.92 = 1,051.12 : x
  2. Step 2: Convert to fraction form
    2,147.36/3,216.92 = 1,051.12/x
  3. Step 3: Cross multiply
    2,147.36x = 3,216.92 × 1,051.12
  4. Step 4: Simplify right side
    2,147.36x = 3,381,368.95
  5. Step 5: Solve for x
    x = 3,381,368.95/2,147.36
  6. Step 6: Final answer
    x = 1,574.66

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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.