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Finding the Fourth Proportional to 4,457, 6,685.88 and 1,170.08

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Solution

The fourth proportional to 4,457, 6,685.88 and 1,170.08 is: 1,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457 : 6,685.88 = 1,170.08 : x
  2. Step 2: Convert to fraction form
    4,457/6,685.88 = 1,170.08/x
  3. Step 3: Cross multiply
    4,457x = 6,685.88 × 1,170.08
  4. Step 4: Simplify right side
    4,457x = 7,823,014.47
  5. Step 5: Solve for x
    x = 7,823,014.47/4,457
  6. Step 6: Final answer
    x = 1,755.22

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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.