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Finding the Fourth Proportional to 2,048.84, 3,073.74 and 750.32

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Solution

The fourth proportional to 2,048.84, 3,073.74 and 750.32 is: 1,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.84 : 3,073.74 = 750.32 : x
  2. Step 2: Convert to fraction form
    2,048.84/3,073.74 = 750.32/x
  3. Step 3: Cross multiply
    2,048.84x = 3,073.74 × 750.32
  4. Step 4: Simplify right side
    2,048.84x = 2,306,288.60
  5. Step 5: Solve for x
    x = 2,306,288.60/2,048.84
  6. Step 6: Final answer
    x = 1,125.66

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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.