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Finding the Fourth Proportional to 2,965.61, 4,092.54 and 1,786.91

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Solution

The fourth proportional to 2,965.61, 4,092.54 and 1,786.91 is: 2,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.61 : 4,092.54 = 1,786.91 : x
  2. Step 2: Convert to fraction form
    2,965.61/4,092.54 = 1,786.91/x
  3. Step 3: Cross multiply
    2,965.61x = 4,092.54 × 1,786.91
  4. Step 4: Simplify right side
    2,965.61x = 7,312,973.49
  5. Step 5: Solve for x
    x = 7,312,973.49/2,965.61
  6. Step 6: Final answer
    x = 2,465.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.