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Finding the Fourth Proportional to 2,074.02, 2,862.06 and 1,189.21

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Solution

The fourth proportional to 2,074.02, 2,862.06 and 1,189.21 is: 1,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.02 : 2,862.06 = 1,189.21 : x
  2. Step 2: Convert to fraction form
    2,074.02/2,862.06 = 1,189.21/x
  3. Step 3: Cross multiply
    2,074.02x = 2,862.06 × 1,189.21
  4. Step 4: Simplify right side
    2,074.02x = 3,403,590.37
  5. Step 5: Solve for x
    x = 3,403,590.37/2,074.02
  6. Step 6: Final answer
    x = 1,641.06

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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.