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Finding the Fourth Proportional to 2,070.63, 2,857.46 and 1,162.14

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Solution

The fourth proportional to 2,070.63, 2,857.46 and 1,162.14 is: 1,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.63 : 2,857.46 = 1,162.14 : x
  2. Step 2: Convert to fraction form
    2,070.63/2,857.46 = 1,162.14/x
  3. Step 3: Cross multiply
    2,070.63x = 2,857.46 × 1,162.14
  4. Step 4: Simplify right side
    2,070.63x = 3,320,762.75
  5. Step 5: Solve for x
    x = 3,320,762.75/2,070.63
  6. Step 6: Final answer
    x = 1,603.75

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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.