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Finding the Fourth Proportional to 1,377.59, 2,066.37 and 1,133.37

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Solution

The fourth proportional to 1,377.59, 2,066.37 and 1,133.37 is: 1,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.59 : 2,066.37 = 1,133.37 : x
  2. Step 2: Convert to fraction form
    1,377.59/2,066.37 = 1,133.37/x
  3. Step 3: Cross multiply
    1,377.59x = 2,066.37 × 1,133.37
  4. Step 4: Simplify right side
    1,377.59x = 2,341,961.77
  5. Step 5: Solve for x
    x = 2,341,961.77/1,377.59
  6. Step 6: Final answer
    x = 1,700.05

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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.