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Finding the Fourth Proportional to 4,165.59, 6,244.74 and 1,700.76

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Solution

The fourth proportional to 4,165.59, 6,244.74 and 1,700.76 is: 2,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.59 : 6,244.74 = 1,700.76 : x
  2. Step 2: Convert to fraction form
    4,165.59/6,244.74 = 1,700.76/x
  3. Step 3: Cross multiply
    4,165.59x = 6,244.74 × 1,700.76
  4. Step 4: Simplify right side
    4,165.59x = 10,620,804.00
  5. Step 5: Solve for x
    x = 10,620,804.00/4,165.59
  6. Step 6: Final answer
    x = 2,549.65

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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.