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Finding the Fourth Proportional to 2,048.17, 3,072.71 and 749.60

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Solution

The fourth proportional to 2,048.17, 3,072.71 and 749.60 is: 1,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.17 : 3,072.71 = 749.60 : x
  2. Step 2: Convert to fraction form
    2,048.17/3,072.71 = 749.60/x
  3. Step 3: Cross multiply
    2,048.17x = 3,072.71 × 749.60
  4. Step 4: Simplify right side
    2,048.17x = 2,303,303.42
  5. Step 5: Solve for x
    x = 2,303,303.42/2,048.17
  6. Step 6: Final answer
    x = 1,124.57

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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.