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Finding the Fourth Proportional to 2,187.83, 3,020.22 and 1,402.32

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Solution

The fourth proportional to 2,187.83, 3,020.22 and 1,402.32 is: 1,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.83 : 3,020.22 = 1,402.32 : x
  2. Step 2: Convert to fraction form
    2,187.83/3,020.22 = 1,402.32/x
  3. Step 3: Cross multiply
    2,187.83x = 3,020.22 × 1,402.32
  4. Step 4: Simplify right side
    2,187.83x = 4,235,314.91
  5. Step 5: Solve for x
    x = 4,235,314.91/2,187.83
  6. Step 6: Final answer
    x = 1,935.86

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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.