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Finding the Fourth Proportional to 1,434.66, 1,977.22 and 1,119.76

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Solution

The fourth proportional to 1,434.66, 1,977.22 and 1,119.76 is: 1,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.66 : 1,977.22 = 1,119.76 : x
  2. Step 2: Convert to fraction form
    1,434.66/1,977.22 = 1,119.76/x
  3. Step 3: Cross multiply
    1,434.66x = 1,977.22 × 1,119.76
  4. Step 4: Simplify right side
    1,434.66x = 2,214,011.87
  5. Step 5: Solve for x
    x = 2,214,011.87/1,434.66
  6. Step 6: Final answer
    x = 1,543.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.