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Finding the Fourth Proportional to 4,167.60, 6,245.94 and 1,699.50

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Solution

The fourth proportional to 4,167.60, 6,245.94 and 1,699.50 is: 2,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.60 : 6,245.94 = 1,699.50 : x
  2. Step 2: Convert to fraction form
    4,167.60/6,245.94 = 1,699.50/x
  3. Step 3: Cross multiply
    4,167.60x = 6,245.94 × 1,699.50
  4. Step 4: Simplify right side
    4,167.60x = 10,614,975.03
  5. Step 5: Solve for x
    x = 10,614,975.03/4,167.60
  6. Step 6: Final answer
    x = 2,547.02

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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.