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Finding the Fourth Proportional to 3,162.48, 4,743.28 and 970.60

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Solution

The fourth proportional to 3,162.48, 4,743.28 and 970.60 is: 1,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.48 : 4,743.28 = 970.60 : x
  2. Step 2: Convert to fraction form
    3,162.48/4,743.28 = 970.60/x
  3. Step 3: Cross multiply
    3,162.48x = 4,743.28 × 970.60
  4. Step 4: Simplify right side
    3,162.48x = 4,603,827.57
  5. Step 5: Solve for x
    x = 4,603,827.57/3,162.48
  6. Step 6: Final answer
    x = 1,455.76

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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.