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Finding the Fourth Proportional to 3,212.92, 4,818.66 and 904.60

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Solution

The fourth proportional to 3,212.92, 4,818.66 and 904.60 is: 1,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.92 : 4,818.66 = 904.60 : x
  2. Step 2: Convert to fraction form
    3,212.92/4,818.66 = 904.60/x
  3. Step 3: Cross multiply
    3,212.92x = 4,818.66 × 904.60
  4. Step 4: Simplify right side
    3,212.92x = 4,358,959.84
  5. Step 5: Solve for x
    x = 4,358,959.84/3,212.92
  6. Step 6: Final answer
    x = 1,356.70

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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.