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Finding the Fourth Proportional to 1,828.98, 2,520.99 and 1,454.22

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Solution

The fourth proportional to 1,828.98, 2,520.99 and 1,454.22 is: 2,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.98 : 2,520.99 = 1,454.22 : x
  2. Step 2: Convert to fraction form
    1,828.98/2,520.99 = 1,454.22/x
  3. Step 3: Cross multiply
    1,828.98x = 2,520.99 × 1,454.22
  4. Step 4: Simplify right side
    1,828.98x = 3,666,074.08
  5. Step 5: Solve for x
    x = 3,666,074.08/1,828.98
  6. Step 6: Final answer
    x = 2,004.44

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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.