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Finding the Fourth Proportional to 2,714.02, 3,744.14 and 1,829.50

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Solution

The fourth proportional to 2,714.02, 3,744.14 and 1,829.50 is: 2,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.02 : 3,744.14 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    2,714.02/3,744.14 = 1,829.50/x
  3. Step 3: Cross multiply
    2,714.02x = 3,744.14 × 1,829.50
  4. Step 4: Simplify right side
    2,714.02x = 6,849,904.13
  5. Step 5: Solve for x
    x = 6,849,904.13/2,714.02
  6. Step 6: Final answer
    x = 2,523.90

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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.