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Finding the Fourth Proportional to 2,752.34, 4,126.08 and 1,019.84

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Solution

The fourth proportional to 2,752.34, 4,126.08 and 1,019.84 is: 1,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.34 : 4,126.08 = 1,019.84 : x
  2. Step 2: Convert to fraction form
    2,752.34/4,126.08 = 1,019.84/x
  3. Step 3: Cross multiply
    2,752.34x = 4,126.08 × 1,019.84
  4. Step 4: Simplify right side
    2,752.34x = 4,207,941.43
  5. Step 5: Solve for x
    x = 4,207,941.43/2,752.34
  6. Step 6: Final answer
    x = 1,528.86

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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.