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Finding the Fourth Proportional to 2,048.93, 2,828.49 and 1,544.99

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Solution

The fourth proportional to 2,048.93, 2,828.49 and 1,544.99 is: 2,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.93 : 2,828.49 = 1,544.99 : x
  2. Step 2: Convert to fraction form
    2,048.93/2,828.49 = 1,544.99/x
  3. Step 3: Cross multiply
    2,048.93x = 2,828.49 × 1,544.99
  4. Step 4: Simplify right side
    2,048.93x = 4,369,984.74
  5. Step 5: Solve for x
    x = 4,369,984.74/2,048.93
  6. Step 6: Final answer
    x = 2,132.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.