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Finding the Fourth Proportional to 2,713.33, 4,070.29 and 864.00

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Solution

The fourth proportional to 2,713.33, 4,070.29 and 864.00 is: 1,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.33 : 4,070.29 = 864.00 : x
  2. Step 2: Convert to fraction form
    2,713.33/4,070.29 = 864.00/x
  3. Step 3: Cross multiply
    2,713.33x = 4,070.29 × 864.00
  4. Step 4: Simplify right side
    2,713.33x = 3,516,712.37
  5. Step 5: Solve for x
    x = 3,516,712.37/2,713.33
  6. Step 6: Final answer
    x = 1,296.09

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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.