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Finding the Fourth Proportional to 4,142.80, 6,214.20 and 1,546

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Solution

The fourth proportional to 4,142.80, 6,214.20 and 1,546 is: 2,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.80 : 6,214.20 = 1,546 : x
  2. Step 2: Convert to fraction form
    4,142.80/6,214.20 = 1,546/x
  3. Step 3: Cross multiply
    4,142.80x = 6,214.20 × 1,546
  4. Step 4: Simplify right side
    4,142.80x = 9,607,153.20
  5. Step 5: Solve for x
    x = 9,607,153.20/4,142.80
  6. Step 6: Final answer
    x = 2,319.00

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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.