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Finding the Fourth Proportional to 2,048.59, 3,072.58 and 749.75

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Solution

The fourth proportional to 2,048.59, 3,072.58 and 749.75 is: 1,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.59 : 3,072.58 = 749.75 : x
  2. Step 2: Convert to fraction form
    2,048.59/3,072.58 = 749.75/x
  3. Step 3: Cross multiply
    2,048.59x = 3,072.58 × 749.75
  4. Step 4: Simplify right side
    2,048.59x = 2,303,663.11
  5. Step 5: Solve for x
    x = 2,303,663.11/2,048.59
  6. Step 6: Final answer
    x = 1,124.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.