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Finding the Fourth Proportional to 2,946.69, 4,403.79 and 2,157.71

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Solution

The fourth proportional to 2,946.69, 4,403.79 and 2,157.71 is: 3,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.69 : 4,403.79 = 2,157.71 : x
  2. Step 2: Convert to fraction form
    2,946.69/4,403.79 = 2,157.71/x
  3. Step 3: Cross multiply
    2,946.69x = 4,403.79 × 2,157.71
  4. Step 4: Simplify right side
    2,946.69x = 9,502,079.70
  5. Step 5: Solve for x
    x = 9,502,079.70/2,946.69
  6. Step 6: Final answer
    x = 3,224.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.