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Finding the Fourth Proportional to 1,434.24, 1,978.56 and 1,020.48

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Solution

The fourth proportional to 1,434.24, 1,978.56 and 1,020.48 is: 1,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.24 : 1,978.56 = 1,020.48 : x
  2. Step 2: Convert to fraction form
    1,434.24/1,978.56 = 1,020.48/x
  3. Step 3: Cross multiply
    1,434.24x = 1,978.56 × 1,020.48
  4. Step 4: Simplify right side
    1,434.24x = 2,019,080.91
  5. Step 5: Solve for x
    x = 2,019,080.91/1,434.24
  6. Step 6: Final answer
    x = 1,407.77

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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.