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Finding the Fourth Proportional to 2,607.48, 3,909.06 and 1,220.09

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Solution

The fourth proportional to 2,607.48, 3,909.06 and 1,220.09 is: 1,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.48 : 3,909.06 = 1,220.09 : x
  2. Step 2: Convert to fraction form
    2,607.48/3,909.06 = 1,220.09/x
  3. Step 3: Cross multiply
    2,607.48x = 3,909.06 × 1,220.09
  4. Step 4: Simplify right side
    2,607.48x = 4,769,385.47
  5. Step 5: Solve for x
    x = 4,769,385.47/2,607.48
  6. Step 6: Final answer
    x = 1,829.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.