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Finding the Fourth Proportional to 2,290.56, 3,161.07 and 1,505.40

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Solution

The fourth proportional to 2,290.56, 3,161.07 and 1,505.40 is: 2,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.56 : 3,161.07 = 1,505.40 : x
  2. Step 2: Convert to fraction form
    2,290.56/3,161.07 = 1,505.40/x
  3. Step 3: Cross multiply
    2,290.56x = 3,161.07 × 1,505.40
  4. Step 4: Simplify right side
    2,290.56x = 4,758,674.78
  5. Step 5: Solve for x
    x = 4,758,674.78/2,290.56
  6. Step 6: Final answer
    x = 2,077.52

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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.