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Finding the Fourth Proportional to 3,114.48, 4,670.46 and 1,266.51

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Solution

The fourth proportional to 3,114.48, 4,670.46 and 1,266.51 is: 1,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.48 : 4,670.46 = 1,266.51 : x
  2. Step 2: Convert to fraction form
    3,114.48/4,670.46 = 1,266.51/x
  3. Step 3: Cross multiply
    3,114.48x = 4,670.46 × 1,266.51
  4. Step 4: Simplify right side
    3,114.48x = 5,915,184.29
  5. Step 5: Solve for x
    x = 5,915,184.29/3,114.48
  6. Step 6: Final answer
    x = 1,899.25

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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.