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Finding the Fourth Proportional to 2,575.64, 3,554.60 and 2,155.25

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Solution

The fourth proportional to 2,575.64, 3,554.60 and 2,155.25 is: 2,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.64 : 3,554.60 = 2,155.25 : x
  2. Step 2: Convert to fraction form
    2,575.64/3,554.60 = 2,155.25/x
  3. Step 3: Cross multiply
    2,575.64x = 3,554.60 × 2,155.25
  4. Step 4: Simplify right side
    2,575.64x = 7,661,023.10
  5. Step 5: Solve for x
    x = 7,661,023.10/2,575.64
  6. Step 6: Final answer
    x = 2,974.42

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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.