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Finding the Fourth Proportional to 1,294.60, 1,941.92 and 370.14

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Solution

The fourth proportional to 1,294.60, 1,941.92 and 370.14 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.60 : 1,941.92 = 370.14 : x
  2. Step 2: Convert to fraction form
    1,294.60/1,941.92 = 370.14/x
  3. Step 3: Cross multiply
    1,294.60x = 1,941.92 × 370.14
  4. Step 4: Simplify right side
    1,294.60x = 718,782.27
  5. Step 5: Solve for x
    x = 718,782.27/1,294.60
  6. Step 6: Final answer
    x = 555.22

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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.