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Finding the Fourth Proportional to 2,410.84, 3,327.52 and 2,017.20

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Solution

The fourth proportional to 2,410.84, 3,327.52 and 2,017.20 is: 2,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.84 : 3,327.52 = 2,017.20 : x
  2. Step 2: Convert to fraction form
    2,410.84/3,327.52 = 2,017.20/x
  3. Step 3: Cross multiply
    2,410.84x = 3,327.52 × 2,017.20
  4. Step 4: Simplify right side
    2,410.84x = 6,712,273.34
  5. Step 5: Solve for x
    x = 6,712,273.34/2,410.84
  6. Step 6: Final answer
    x = 2,784.21

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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.