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Finding the Fourth Proportional to 2,770.16, 4,152.24 and 1,126.24

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Solution

The fourth proportional to 2,770.16, 4,152.24 and 1,126.24 is: 1,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.16 : 4,152.24 = 1,126.24 : x
  2. Step 2: Convert to fraction form
    2,770.16/4,152.24 = 1,126.24/x
  3. Step 3: Cross multiply
    2,770.16x = 4,152.24 × 1,126.24
  4. Step 4: Simplify right side
    2,770.16x = 4,676,418.78
  5. Step 5: Solve for x
    x = 4,676,418.78/2,770.16
  6. Step 6: Final answer
    x = 1,688.14

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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.