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Finding the Fourth Proportional to 1,404.45, 2,107.17 and 746.28

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Solution

The fourth proportional to 1,404.45, 2,107.17 and 746.28 is: 1,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.45 : 2,107.17 = 746.28 : x
  2. Step 2: Convert to fraction form
    1,404.45/2,107.17 = 746.28/x
  3. Step 3: Cross multiply
    1,404.45x = 2,107.17 × 746.28
  4. Step 4: Simplify right side
    1,404.45x = 1,572,538.83
  5. Step 5: Solve for x
    x = 1,572,538.83/1,404.45
  6. Step 6: Final answer
    x = 1,119.68

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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.