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Finding the Fourth Proportional to 3,434.16, 4,739.16 and 1,862.24

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Solution

The fourth proportional to 3,434.16, 4,739.16 and 1,862.24 is: 2,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.16 : 4,739.16 = 1,862.24 : x
  2. Step 2: Convert to fraction form
    3,434.16/4,739.16 = 1,862.24/x
  3. Step 3: Cross multiply
    3,434.16x = 4,739.16 × 1,862.24
  4. Step 4: Simplify right side
    3,434.16x = 8,825,453.32
  5. Step 5: Solve for x
    x = 8,825,453.32/3,434.16
  6. Step 6: Final answer
    x = 2,569.90

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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.