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Finding the Fourth Proportional to 2,714.34, 3,745.53 and 2,156.16

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Solution

The fourth proportional to 2,714.34, 3,745.53 and 2,156.16 is: 2,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.34 : 3,745.53 = 2,156.16 : x
  2. Step 2: Convert to fraction form
    2,714.34/3,745.53 = 2,156.16/x
  3. Step 3: Cross multiply
    2,714.34x = 3,745.53 × 2,156.16
  4. Step 4: Simplify right side
    2,714.34x = 8,075,961.96
  5. Step 5: Solve for x
    x = 8,075,961.96/2,714.34
  6. Step 6: Final answer
    x = 2,975.29

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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.