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Finding the Fourth Proportional to 2,526.07, 3,790.02 and 1,294.06

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Solution

The fourth proportional to 2,526.07, 3,790.02 and 1,294.06 is: 1,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.07 : 3,790.02 = 1,294.06 : x
  2. Step 2: Convert to fraction form
    2,526.07/3,790.02 = 1,294.06/x
  3. Step 3: Cross multiply
    2,526.07x = 3,790.02 × 1,294.06
  4. Step 4: Simplify right side
    2,526.07x = 4,904,513.28
  5. Step 5: Solve for x
    x = 4,904,513.28/2,526.07
  6. Step 6: Final answer
    x = 1,941.56

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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.