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Finding the Fourth Proportional to 2,874.48, 3,967.22 and 1,756.07

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Solution

The fourth proportional to 2,874.48, 3,967.22 and 1,756.07 is: 2,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.48 : 3,967.22 = 1,756.07 : x
  2. Step 2: Convert to fraction form
    2,874.48/3,967.22 = 1,756.07/x
  3. Step 3: Cross multiply
    2,874.48x = 3,967.22 × 1,756.07
  4. Step 4: Simplify right side
    2,874.48x = 6,966,687.41
  5. Step 5: Solve for x
    x = 6,966,687.41/2,874.48
  6. Step 6: Final answer
    x = 2,423.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.