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Finding the Fourth Proportional to 2,410.62, 3,327.04 and 2,017.50

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Solution

The fourth proportional to 2,410.62, 3,327.04 and 2,017.50 is: 2,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.62 : 3,327.04 = 2,017.50 : x
  2. Step 2: Convert to fraction form
    2,410.62/3,327.04 = 2,017.50/x
  3. Step 3: Cross multiply
    2,410.62x = 3,327.04 × 2,017.50
  4. Step 4: Simplify right side
    2,410.62x = 6,712,303.20
  5. Step 5: Solve for x
    x = 6,712,303.20/2,410.62
  6. Step 6: Final answer
    x = 2,784.47

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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.