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Finding the Fourth Proportional to 2,199.18, 3,298.65 and 618.00

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Solution

The fourth proportional to 2,199.18, 3,298.65 and 618.00 is: 926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.18 : 3,298.65 = 618.00 : x
  2. Step 2: Convert to fraction form
    2,199.18/3,298.65 = 618.00/x
  3. Step 3: Cross multiply
    2,199.18x = 3,298.65 × 618.00
  4. Step 4: Simplify right side
    2,199.18x = 2,038,580.58
  5. Step 5: Solve for x
    x = 2,038,580.58/2,199.18
  6. Step 6: Final answer
    x = 926.97

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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.