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Finding the Fourth Proportional to 1,807.64, 2,494.10 and 1,099.44

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Solution

The fourth proportional to 1,807.64, 2,494.10 and 1,099.44 is: 1,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.64 : 2,494.10 = 1,099.44 : x
  2. Step 2: Convert to fraction form
    1,807.64/2,494.10 = 1,099.44/x
  3. Step 3: Cross multiply
    1,807.64x = 2,494.10 × 1,099.44
  4. Step 4: Simplify right side
    1,807.64x = 2,742,113.30
  5. Step 5: Solve for x
    x = 2,742,113.30/1,807.64
  6. Step 6: Final answer
    x = 1,516.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.