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Finding the Fourth Proportional to 2,862.34, 3,950.07 and 1,743.32

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Solution

The fourth proportional to 2,862.34, 3,950.07 and 1,743.32 is: 2,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.34 : 3,950.07 = 1,743.32 : x
  2. Step 2: Convert to fraction form
    2,862.34/3,950.07 = 1,743.32/x
  3. Step 3: Cross multiply
    2,862.34x = 3,950.07 × 1,743.32
  4. Step 4: Simplify right side
    2,862.34x = 6,886,239.37
  5. Step 5: Solve for x
    x = 6,886,239.37/2,862.34
  6. Step 6: Final answer
    x = 2,405.81

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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.