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Finding the Fourth Proportional to 2,415.60, 3,333.78 and 1,825.20

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Solution

The fourth proportional to 2,415.60, 3,333.78 and 1,825.20 is: 2,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.60 : 3,333.78 = 1,825.20 : x
  2. Step 2: Convert to fraction form
    2,415.60/3,333.78 = 1,825.20/x
  3. Step 3: Cross multiply
    2,415.60x = 3,333.78 × 1,825.20
  4. Step 4: Simplify right side
    2,415.60x = 6,084,815.26
  5. Step 5: Solve for x
    x = 6,084,815.26/2,415.60
  6. Step 6: Final answer
    x = 2,518.97

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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.