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Finding the Fourth Proportional to 1,660.07, 2,284.05 and 1,619.06

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Solution

The fourth proportional to 1,660.07, 2,284.05 and 1,619.06 is: 2,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.07 : 2,284.05 = 1,619.06 : x
  2. Step 2: Convert to fraction form
    1,660.07/2,284.05 = 1,619.06/x
  3. Step 3: Cross multiply
    1,660.07x = 2,284.05 × 1,619.06
  4. Step 4: Simplify right side
    1,660.07x = 3,698,018.81
  5. Step 5: Solve for x
    x = 3,698,018.81/1,660.07
  6. Step 6: Final answer
    x = 2,227.63

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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.