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Finding the Fourth Proportional to 2,897.83, 4,346.89 and 818.00

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Solution

The fourth proportional to 2,897.83, 4,346.89 and 818.00 is: 1,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.83 : 4,346.89 = 818.00 : x
  2. Step 2: Convert to fraction form
    2,897.83/4,346.89 = 818.00/x
  3. Step 3: Cross multiply
    2,897.83x = 4,346.89 × 818.00
  4. Step 4: Simplify right side
    2,897.83x = 3,555,750.84
  5. Step 5: Solve for x
    x = 3,555,750.84/2,897.83
  6. Step 6: Final answer
    x = 1,227.04

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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.