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Finding the Fourth Proportional to 2,070.42, 2,857.14 and 1,138.92

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Solution

The fourth proportional to 2,070.42, 2,857.14 and 1,138.92 is: 1,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.42 : 2,857.14 = 1,138.92 : x
  2. Step 2: Convert to fraction form
    2,070.42/2,857.14 = 1,138.92/x
  3. Step 3: Cross multiply
    2,070.42x = 2,857.14 × 1,138.92
  4. Step 4: Simplify right side
    2,070.42x = 3,254,053.89
  5. Step 5: Solve for x
    x = 3,254,053.89/2,070.42
  6. Step 6: Final answer
    x = 1,571.69

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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.