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Finding the Fourth Proportional to 2,864.19, 4,296.06 and 784.26

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Solution

The fourth proportional to 2,864.19, 4,296.06 and 784.26 is: 1,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.19 : 4,296.06 = 784.26 : x
  2. Step 2: Convert to fraction form
    2,864.19/4,296.06 = 784.26/x
  3. Step 3: Cross multiply
    2,864.19x = 4,296.06 × 784.26
  4. Step 4: Simplify right side
    2,864.19x = 3,369,228.02
  5. Step 5: Solve for x
    x = 3,369,228.02/2,864.19
  6. Step 6: Final answer
    x = 1,176.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.