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Finding the Fourth Proportional to 1,477.62, 2,217.51 and 746.46

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Solution

The fourth proportional to 1,477.62, 2,217.51 and 746.46 is: 1,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.62 : 2,217.51 = 746.46 : x
  2. Step 2: Convert to fraction form
    1,477.62/2,217.51 = 746.46/x
  3. Step 3: Cross multiply
    1,477.62x = 2,217.51 × 746.46
  4. Step 4: Simplify right side
    1,477.62x = 1,655,282.51
  5. Step 5: Solve for x
    x = 1,655,282.51/1,477.62
  6. Step 6: Final answer
    x = 1,120.24

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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.