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Finding the Fourth Proportional to 4,746.68, 7,121.06 and 1,460

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Solution

The fourth proportional to 4,746.68, 7,121.06 and 1,460 is: 2,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.68 : 7,121.06 = 1,460 : x
  2. Step 2: Convert to fraction form
    4,746.68/7,121.06 = 1,460/x
  3. Step 3: Cross multiply
    4,746.68x = 7,121.06 × 1,460
  4. Step 4: Simplify right side
    4,746.68x = 10,396,747.60
  5. Step 5: Solve for x
    x = 10,396,747.60/4,746.68
  6. Step 6: Final answer
    x = 2,190.32

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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.