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Finding the Fourth Proportional to 1,830.12, 2,523.12 and 1,514.22

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Solution

The fourth proportional to 1,830.12, 2,523.12 and 1,514.22 is: 2,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.12 : 2,523.12 = 1,514.22 : x
  2. Step 2: Convert to fraction form
    1,830.12/2,523.12 = 1,514.22/x
  3. Step 3: Cross multiply
    1,830.12x = 2,523.12 × 1,514.22
  4. Step 4: Simplify right side
    1,830.12x = 3,820,558.77
  5. Step 5: Solve for x
    x = 3,820,558.77/1,830.12
  6. Step 6: Final answer
    x = 2,087.60

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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.