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Finding the Fourth Proportional to 1,434.65, 1,978.70 and 1,081.76

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Solution

The fourth proportional to 1,434.65, 1,978.70 and 1,081.76 is: 1,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.65 : 1,978.70 = 1,081.76 : x
  2. Step 2: Convert to fraction form
    1,434.65/1,978.70 = 1,081.76/x
  3. Step 3: Cross multiply
    1,434.65x = 1,978.70 × 1,081.76
  4. Step 4: Simplify right side
    1,434.65x = 2,140,463.21
  5. Step 5: Solve for x
    x = 2,140,463.21/1,434.65
  6. Step 6: Final answer
    x = 1,491.98

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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.