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Finding the Fourth Proportional to 1,598.55, 2,394.63 and 1,270.05

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Solution

The fourth proportional to 1,598.55, 2,394.63 and 1,270.05 is: 1,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.55 : 2,394.63 = 1,270.05 : x
  2. Step 2: Convert to fraction form
    1,598.55/2,394.63 = 1,270.05/x
  3. Step 3: Cross multiply
    1,598.55x = 2,394.63 × 1,270.05
  4. Step 4: Simplify right side
    1,598.55x = 3,041,287.86
  5. Step 5: Solve for x
    x = 3,041,287.86/1,598.55
  6. Step 6: Final answer
    x = 1,902.53

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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.