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Finding the Fourth Proportional to 2,170.41, 3,256.70 and 1,598.01

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Solution

The fourth proportional to 2,170.41, 3,256.70 and 1,598.01 is: 2,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.41 : 3,256.70 = 1,598.01 : x
  2. Step 2: Convert to fraction form
    2,170.41/3,256.70 = 1,598.01/x
  3. Step 3: Cross multiply
    2,170.41x = 3,256.70 × 1,598.01
  4. Step 4: Simplify right side
    2,170.41x = 5,204,239.17
  5. Step 5: Solve for x
    x = 5,204,239.17/2,170.41
  6. Step 6: Final answer
    x = 2,397.81

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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.