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Finding the Fourth Proportional to 2,070.52, 2,855.86 and 1,406.22

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Solution

The fourth proportional to 2,070.52, 2,855.86 and 1,406.22 is: 1,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.52 : 2,855.86 = 1,406.22 : x
  2. Step 2: Convert to fraction form
    2,070.52/2,855.86 = 1,406.22/x
  3. Step 3: Cross multiply
    2,070.52x = 2,855.86 × 1,406.22
  4. Step 4: Simplify right side
    2,070.52x = 4,015,953.17
  5. Step 5: Solve for x
    x = 4,015,953.17/2,070.52
  6. Step 6: Final answer
    x = 1,939.59

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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.