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Finding the Fourth Proportional to 2,943, 4,416.53 and 1,211.63

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Solution

The fourth proportional to 2,943, 4,416.53 and 1,211.63 is: 1,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 4,416.53 = 1,211.63 : x
  2. Step 2: Convert to fraction form
    2,943/4,416.53 = 1,211.63/x
  3. Step 3: Cross multiply
    2,943x = 4,416.53 × 1,211.63
  4. Step 4: Simplify right side
    2,943x = 5,351,172.10
  5. Step 5: Solve for x
    x = 5,351,172.10/2,943
  6. Step 6: Final answer
    x = 1,818.27

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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.