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Finding the Fourth Proportional to 4,630.47, 6,946.38 and 1,343.13

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Solution

The fourth proportional to 4,630.47, 6,946.38 and 1,343.13 is: 2,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.47 : 6,946.38 = 1,343.13 : x
  2. Step 2: Convert to fraction form
    4,630.47/6,946.38 = 1,343.13/x
  3. Step 3: Cross multiply
    4,630.47x = 6,946.38 × 1,343.13
  4. Step 4: Simplify right side
    4,630.47x = 9,329,908.17
  5. Step 5: Solve for x
    x = 9,329,908.17/4,630.47
  6. Step 6: Final answer
    x = 2,014.90

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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.