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Finding the Fourth Proportional to 2,495.60, 3,442.20 and 1,564.40

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Solution

The fourth proportional to 2,495.60, 3,442.20 and 1,564.40 is: 2,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.60 : 3,442.20 = 1,564.40 : x
  2. Step 2: Convert to fraction form
    2,495.60/3,442.20 = 1,564.40/x
  3. Step 3: Cross multiply
    2,495.60x = 3,442.20 × 1,564.40
  4. Step 4: Simplify right side
    2,495.60x = 5,384,977.68
  5. Step 5: Solve for x
    x = 5,384,977.68/2,495.60
  6. Step 6: Final answer
    x = 2,157.79

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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.