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Finding the Fourth Proportional to 1,292.09, 1,941.93 and 1,074.10

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Solution

The fourth proportional to 1,292.09, 1,941.93 and 1,074.10 is: 1,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.09 : 1,941.93 = 1,074.10 : x
  2. Step 2: Convert to fraction form
    1,292.09/1,941.93 = 1,074.10/x
  3. Step 3: Cross multiply
    1,292.09x = 1,941.93 × 1,074.10
  4. Step 4: Simplify right side
    1,292.09x = 2,085,827.01
  5. Step 5: Solve for x
    x = 2,085,827.01/1,292.09
  6. Step 6: Final answer
    x = 1,614.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.