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Finding the Fourth Proportional to 2,762.84, 4,142.37 and 1,445.78

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Solution

The fourth proportional to 2,762.84, 4,142.37 and 1,445.78 is: 2,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.84 : 4,142.37 = 1,445.78 : x
  2. Step 2: Convert to fraction form
    2,762.84/4,142.37 = 1,445.78/x
  3. Step 3: Cross multiply
    2,762.84x = 4,142.37 × 1,445.78
  4. Step 4: Simplify right side
    2,762.84x = 5,988,955.70
  5. Step 5: Solve for x
    x = 5,988,955.70/2,762.84
  6. Step 6: Final answer
    x = 2,167.68

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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.