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Finding the Fourth Proportional to 2,714.50, 3,744.23 and 2,154.08

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Solution

The fourth proportional to 2,714.50, 3,744.23 and 2,154.08 is: 2,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.50 : 3,744.23 = 2,154.08 : x
  2. Step 2: Convert to fraction form
    2,714.50/3,744.23 = 2,154.08/x
  3. Step 3: Cross multiply
    2,714.50x = 3,744.23 × 2,154.08
  4. Step 4: Simplify right side
    2,714.50x = 8,065,360.19
  5. Step 5: Solve for x
    x = 8,065,360.19/2,714.50
  6. Step 6: Final answer
    x = 2,971.21

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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.