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Finding the Fourth Proportional to 2,973.77, 4,104.47 and 1,854.49

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Solution

The fourth proportional to 2,973.77, 4,104.47 and 1,854.49 is: 2,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.77 : 4,104.47 = 1,854.49 : x
  2. Step 2: Convert to fraction form
    2,973.77/4,104.47 = 1,854.49/x
  3. Step 3: Cross multiply
    2,973.77x = 4,104.47 × 1,854.49
  4. Step 4: Simplify right side
    2,973.77x = 7,611,698.57
  5. Step 5: Solve for x
    x = 7,611,698.57/2,973.77
  6. Step 6: Final answer
    x = 2,559.61

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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.