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Finding the Fourth Proportional to 4,460.66, 6,684.04 and 1,685.82

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Solution

The fourth proportional to 4,460.66, 6,684.04 and 1,685.82 is: 2,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.66 : 6,684.04 = 1,685.82 : x
  2. Step 2: Convert to fraction form
    4,460.66/6,684.04 = 1,685.82/x
  3. Step 3: Cross multiply
    4,460.66x = 6,684.04 × 1,685.82
  4. Step 4: Simplify right side
    4,460.66x = 11,268,077.89
  5. Step 5: Solve for x
    x = 11,268,077.89/4,460.66
  6. Step 6: Final answer
    x = 2,526.10

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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.