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Finding the Fourth Proportional to 2,188.93, 3,020.29 and 1,292.95

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Solution

The fourth proportional to 2,188.93, 3,020.29 and 1,292.95 is: 1,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.93 : 3,020.29 = 1,292.95 : x
  2. Step 2: Convert to fraction form
    2,188.93/3,020.29 = 1,292.95/x
  3. Step 3: Cross multiply
    2,188.93x = 3,020.29 × 1,292.95
  4. Step 4: Simplify right side
    2,188.93x = 3,905,083.96
  5. Step 5: Solve for x
    x = 3,905,083.96/2,188.93
  6. Step 6: Final answer
    x = 1,784.02

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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.