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Finding the Fourth Proportional to 1,883.76, 2,814.14 and 1,499.44

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Solution

The fourth proportional to 1,883.76, 2,814.14 and 1,499.44 is: 2,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.76 : 2,814.14 = 1,499.44 : x
  2. Step 2: Convert to fraction form
    1,883.76/2,814.14 = 1,499.44/x
  3. Step 3: Cross multiply
    1,883.76x = 2,814.14 × 1,499.44
  4. Step 4: Simplify right side
    1,883.76x = 4,219,634.08
  5. Step 5: Solve for x
    x = 4,219,634.08/1,883.76
  6. Step 6: Final answer
    x = 2,240.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.