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Finding the Fourth Proportional to 2,092.94, 2,886.27 and 1,594.70

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Solution

The fourth proportional to 2,092.94, 2,886.27 and 1,594.70 is: 2,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.94 : 2,886.27 = 1,594.70 : x
  2. Step 2: Convert to fraction form
    2,092.94/2,886.27 = 1,594.70/x
  3. Step 3: Cross multiply
    2,092.94x = 2,886.27 × 1,594.70
  4. Step 4: Simplify right side
    2,092.94x = 4,602,734.77
  5. Step 5: Solve for x
    x = 4,602,734.77/2,092.94
  6. Step 6: Final answer
    x = 2,199.17

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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.