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Finding the Fourth Proportional to 1,598.89, 2,395.14 and 1,270.38

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Solution

The fourth proportional to 1,598.89, 2,395.14 and 1,270.38 is: 1,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.89 : 2,395.14 = 1,270.38 : x
  2. Step 2: Convert to fraction form
    1,598.89/2,395.14 = 1,270.38/x
  3. Step 3: Cross multiply
    1,598.89x = 2,395.14 × 1,270.38
  4. Step 4: Simplify right side
    1,598.89x = 3,042,731.60
  5. Step 5: Solve for x
    x = 3,042,731.60/1,598.89
  6. Step 6: Final answer
    x = 1,903.03

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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.