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Finding the Fourth Proportional to 1,624.95, 2,439.03 and 1,097.79

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Solution

The fourth proportional to 1,624.95, 2,439.03 and 1,097.79 is: 1,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.95 : 2,439.03 = 1,097.79 : x
  2. Step 2: Convert to fraction form
    1,624.95/2,439.03 = 1,097.79/x
  3. Step 3: Cross multiply
    1,624.95x = 2,439.03 × 1,097.79
  4. Step 4: Simplify right side
    1,624.95x = 2,677,542.74
  5. Step 5: Solve for x
    x = 2,677,542.74/1,624.95
  6. Step 6: Final answer
    x = 1,647.77

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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.