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Finding the Fourth Proportional to 3,617.60, 5,420.10 and 1,665.80

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Solution

The fourth proportional to 3,617.60, 5,420.10 and 1,665.80 is: 2,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.60 : 5,420.10 = 1,665.80 : x
  2. Step 2: Convert to fraction form
    3,617.60/5,420.10 = 1,665.80/x
  3. Step 3: Cross multiply
    3,617.60x = 5,420.10 × 1,665.80
  4. Step 4: Simplify right side
    3,617.60x = 9,028,802.58
  5. Step 5: Solve for x
    x = 9,028,802.58/3,617.60
  6. Step 6: Final answer
    x = 2,495.80

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1.5x scale

Why These Related Problems?

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