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Finding the Fourth Proportional to 2,967.94, 4,434.14 and 2,296.35

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Solution

The fourth proportional to 2,967.94, 4,434.14 and 2,296.35 is: 3,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.94 : 4,434.14 = 2,296.35 : x
  2. Step 2: Convert to fraction form
    2,967.94/4,434.14 = 2,296.35/x
  3. Step 3: Cross multiply
    2,967.94x = 4,434.14 × 2,296.35
  4. Step 4: Simplify right side
    2,967.94x = 10,182,343.13
  5. Step 5: Solve for x
    x = 10,182,343.13/2,967.94
  6. Step 6: Final answer
    x = 3,430.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.