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Finding the Fourth Proportional to 3,146.42, 4,342.54 and 1,820.10

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Solution

The fourth proportional to 3,146.42, 4,342.54 and 1,820.10 is: 2,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.42 : 4,342.54 = 1,820.10 : x
  2. Step 2: Convert to fraction form
    3,146.42/4,342.54 = 1,820.10/x
  3. Step 3: Cross multiply
    3,146.42x = 4,342.54 × 1,820.10
  4. Step 4: Simplify right side
    3,146.42x = 7,903,857.05
  5. Step 5: Solve for x
    x = 7,903,857.05/3,146.42
  6. Step 6: Final answer
    x = 2,512.02

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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.