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Finding the Fourth Proportional to 1,599.42, 2,395.10 and 1,012.64

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Solution

The fourth proportional to 1,599.42, 2,395.10 and 1,012.64 is: 1,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.42 : 2,395.10 = 1,012.64 : x
  2. Step 2: Convert to fraction form
    1,599.42/2,395.10 = 1,012.64/x
  3. Step 3: Cross multiply
    1,599.42x = 2,395.10 × 1,012.64
  4. Step 4: Simplify right side
    1,599.42x = 2,425,371.53
  5. Step 5: Solve for x
    x = 2,425,371.53/1,599.42
  6. Step 6: Final answer
    x = 1,516.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.