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Finding the Fourth Proportional to 4,142.64, 6,214.32 and 1,510.80

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Solution

The fourth proportional to 4,142.64, 6,214.32 and 1,510.80 is: 2,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.64 : 6,214.32 = 1,510.80 : x
  2. Step 2: Convert to fraction form
    4,142.64/6,214.32 = 1,510.80/x
  3. Step 3: Cross multiply
    4,142.64x = 6,214.32 × 1,510.80
  4. Step 4: Simplify right side
    4,142.64x = 9,388,594.66
  5. Step 5: Solve for x
    x = 9,388,594.66/4,142.64
  6. Step 6: Final answer
    x = 2,266.33

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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.