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Finding the Fourth Proportional to 1,434.01, 1,978.26 and 936.46

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Solution

The fourth proportional to 1,434.01, 1,978.26 and 936.46 is: 1,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.01 : 1,978.26 = 936.46 : x
  2. Step 2: Convert to fraction form
    1,434.01/1,978.26 = 936.46/x
  3. Step 3: Cross multiply
    1,434.01x = 1,978.26 × 936.46
  4. Step 4: Simplify right side
    1,434.01x = 1,852,561.36
  5. Step 5: Solve for x
    x = 1,852,561.36/1,434.01
  6. Step 6: Final answer
    x = 1,291.87

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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.