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Finding the Fourth Proportional to 2,188.95, 3,020.66 and 1,292.98

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Solution

The fourth proportional to 2,188.95, 3,020.66 and 1,292.98 is: 1,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.95 : 3,020.66 = 1,292.98 : x
  2. Step 2: Convert to fraction form
    2,188.95/3,020.66 = 1,292.98/x
  3. Step 3: Cross multiply
    2,188.95x = 3,020.66 × 1,292.98
  4. Step 4: Simplify right side
    2,188.95x = 3,905,643.80
  5. Step 5: Solve for x
    x = 3,905,643.80/2,188.95
  6. Step 6: Final answer
    x = 1,784.26

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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.