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Finding the Fourth Proportional to 2,403.83, 3,602.70 and 2,142.60

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Solution

The fourth proportional to 2,403.83, 3,602.70 and 2,142.60 is: 3,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.83 : 3,602.70 = 2,142.60 : x
  2. Step 2: Convert to fraction form
    2,403.83/3,602.70 = 2,142.60/x
  3. Step 3: Cross multiply
    2,403.83x = 3,602.70 × 2,142.60
  4. Step 4: Simplify right side
    2,403.83x = 7,719,145.02
  5. Step 5: Solve for x
    x = 7,719,145.02/2,403.83
  6. Step 6: Final answer
    x = 3,211.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.