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Finding the Fourth Proportional to 2,405.67, 3,322.14 and 1,876.02

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Solution

The fourth proportional to 2,405.67, 3,322.14 and 1,876.02 is: 2,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.67 : 3,322.14 = 1,876.02 : x
  2. Step 2: Convert to fraction form
    2,405.67/3,322.14 = 1,876.02/x
  3. Step 3: Cross multiply
    2,405.67x = 3,322.14 × 1,876.02
  4. Step 4: Simplify right side
    2,405.67x = 6,232,401.08
  5. Step 5: Solve for x
    x = 6,232,401.08/2,405.67
  6. Step 6: Final answer
    x = 2,590.71

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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.