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Finding the Fourth Proportional to 2,714.90, 3,742.19 and 1,829.16

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Solution

The fourth proportional to 2,714.90, 3,742.19 and 1,829.16 is: 2,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.90 : 3,742.19 = 1,829.16 : x
  2. Step 2: Convert to fraction form
    2,714.90/3,742.19 = 1,829.16/x
  3. Step 3: Cross multiply
    2,714.90x = 3,742.19 × 1,829.16
  4. Step 4: Simplify right side
    2,714.90x = 6,845,055.11
  5. Step 5: Solve for x
    x = 6,845,055.11/2,714.90
  6. Step 6: Final answer
    x = 2,521.30

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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.