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Finding the Fourth Proportional to 1,358.37, 2,038.28 and 1,012.41

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Solution

The fourth proportional to 1,358.37, 2,038.28 and 1,012.41 is: 1,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.37 : 2,038.28 = 1,012.41 : x
  2. Step 2: Convert to fraction form
    1,358.37/2,038.28 = 1,012.41/x
  3. Step 3: Cross multiply
    1,358.37x = 2,038.28 × 1,012.41
  4. Step 4: Simplify right side
    1,358.37x = 2,063,569.99
  5. Step 5: Solve for x
    x = 2,063,569.99/1,358.37
  6. Step 6: Final answer
    x = 1,519.15

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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.