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Finding the Fourth Proportional to 2,419.56, 3,646.98 and 2,200.86

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Solution

The fourth proportional to 2,419.56, 3,646.98 and 2,200.86 is: 3,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.56 : 3,646.98 = 2,200.86 : x
  2. Step 2: Convert to fraction form
    2,419.56/3,646.98 = 2,200.86/x
  3. Step 3: Cross multiply
    2,419.56x = 3,646.98 × 2,200.86
  4. Step 4: Simplify right side
    2,419.56x = 8,026,492.40
  5. Step 5: Solve for x
    x = 8,026,492.40/2,419.56
  6. Step 6: Final answer
    x = 3,317.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.