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Finding the Fourth Proportional to 2,134.93, 2,946.37 and 1,191.02

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Solution

The fourth proportional to 2,134.93, 2,946.37 and 1,191.02 is: 1,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.93 : 2,946.37 = 1,191.02 : x
  2. Step 2: Convert to fraction form
    2,134.93/2,946.37 = 1,191.02/x
  3. Step 3: Cross multiply
    2,134.93x = 2,946.37 × 1,191.02
  4. Step 4: Simplify right side
    2,134.93x = 3,509,185.60
  5. Step 5: Solve for x
    x = 3,509,185.60/2,134.93
  6. Step 6: Final answer
    x = 1,643.70

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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.