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Finding the Fourth Proportional to 1,261.70, 1,892.55 and 1,018.70

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Solution

The fourth proportional to 1,261.70, 1,892.55 and 1,018.70 is: 1,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.70 : 1,892.55 = 1,018.70 : x
  2. Step 2: Convert to fraction form
    1,261.70/1,892.55 = 1,018.70/x
  3. Step 3: Cross multiply
    1,261.70x = 1,892.55 × 1,018.70
  4. Step 4: Simplify right side
    1,261.70x = 1,927,940.69
  5. Step 5: Solve for x
    x = 1,927,940.69/1,261.70
  6. Step 6: Final answer
    x = 1,528.05

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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.