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Finding the Fourth Proportional to 2,602.06, 3,905.14 and 1,370.20

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Solution

The fourth proportional to 2,602.06, 3,905.14 and 1,370.20 is: 2,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.06 : 3,905.14 = 1,370.20 : x
  2. Step 2: Convert to fraction form
    2,602.06/3,905.14 = 1,370.20/x
  3. Step 3: Cross multiply
    2,602.06x = 3,905.14 × 1,370.20
  4. Step 4: Simplify right side
    2,602.06x = 5,350,822.83
  5. Step 5: Solve for x
    x = 5,350,822.83/2,602.06
  6. Step 6: Final answer
    x = 2,056.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.