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Finding the Fourth Proportional to 2,798.16, 4,194.50 and 1,041.87

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Solution

The fourth proportional to 2,798.16, 4,194.50 and 1,041.87 is: 1,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.16 : 4,194.50 = 1,041.87 : x
  2. Step 2: Convert to fraction form
    2,798.16/4,194.50 = 1,041.87/x
  3. Step 3: Cross multiply
    2,798.16x = 4,194.50 × 1,041.87
  4. Step 4: Simplify right side
    2,798.16x = 4,370,118.51
  5. Step 5: Solve for x
    x = 4,370,118.51/2,798.16
  6. Step 6: Final answer
    x = 1,561.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.