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Finding the Fourth Proportional to 3,329.60, 4,985.08 and 1,766.07

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Solution

The fourth proportional to 3,329.60, 4,985.08 and 1,766.07 is: 2,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.60 : 4,985.08 = 1,766.07 : x
  2. Step 2: Convert to fraction form
    3,329.60/4,985.08 = 1,766.07/x
  3. Step 3: Cross multiply
    3,329.60x = 4,985.08 × 1,766.07
  4. Step 4: Simplify right side
    3,329.60x = 8,803,995.82
  5. Step 5: Solve for x
    x = 8,803,995.82/3,329.60
  6. Step 6: Final answer
    x = 2,644.16

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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.