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Finding the Fourth Proportional to 4,410, 6,614.98 and 1,123.09

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Solution

The fourth proportional to 4,410, 6,614.98 and 1,123.09 is: 1,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410 : 6,614.98 = 1,123.09 : x
  2. Step 2: Convert to fraction form
    4,410/6,614.98 = 1,123.09/x
  3. Step 3: Cross multiply
    4,410x = 6,614.98 × 1,123.09
  4. Step 4: Simplify right side
    4,410x = 7,429,184.81
  5. Step 5: Solve for x
    x = 7,429,184.81/4,410
  6. Step 6: Final answer
    x = 1,684.62

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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.