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Finding the Fourth Proportional to 2,048.92, 2,825.40 and 1,824.10

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Solution

The fourth proportional to 2,048.92, 2,825.40 and 1,824.10 is: 2,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.92 : 2,825.40 = 1,824.10 : x
  2. Step 2: Convert to fraction form
    2,048.92/2,825.40 = 1,824.10/x
  3. Step 3: Cross multiply
    2,048.92x = 2,825.40 × 1,824.10
  4. Step 4: Simplify right side
    2,048.92x = 5,153,812.14
  5. Step 5: Solve for x
    x = 5,153,812.14/2,048.92
  6. Step 6: Final answer
    x = 2,515.38

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1.5x scale

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.