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Finding the Fourth Proportional to 2,035.80, 2,804.22 and 1,569.24

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Solution

The fourth proportional to 2,035.80, 2,804.22 and 1,569.24 is: 2,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.80 : 2,804.22 = 1,569.24 : x
  2. Step 2: Convert to fraction form
    2,035.80/2,804.22 = 1,569.24/x
  3. Step 3: Cross multiply
    2,035.80x = 2,804.22 × 1,569.24
  4. Step 4: Simplify right side
    2,035.80x = 4,400,494.19
  5. Step 5: Solve for x
    x = 4,400,494.19/2,035.80
  6. Step 6: Final answer
    x = 2,161.56

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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.