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Finding the Fourth Proportional to 1,600.94, 2,210.61 and 1,519.40

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Solution

The fourth proportional to 1,600.94, 2,210.61 and 1,519.40 is: 2,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.94 : 2,210.61 = 1,519.40 : x
  2. Step 2: Convert to fraction form
    1,600.94/2,210.61 = 1,519.40/x
  3. Step 3: Cross multiply
    1,600.94x = 2,210.61 × 1,519.40
  4. Step 4: Simplify right side
    1,600.94x = 3,358,800.83
  5. Step 5: Solve for x
    x = 3,358,800.83/1,600.94
  6. Step 6: Final answer
    x = 2,098.02

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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.