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Finding the Fourth Proportional to 2,292.51, 3,164.42 and 1,348.26

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Solution

The fourth proportional to 2,292.51, 3,164.42 and 1,348.26 is: 1,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.51 : 3,164.42 = 1,348.26 : x
  2. Step 2: Convert to fraction form
    2,292.51/3,164.42 = 1,348.26/x
  3. Step 3: Cross multiply
    2,292.51x = 3,164.42 × 1,348.26
  4. Step 4: Simplify right side
    2,292.51x = 4,266,438.35
  5. Step 5: Solve for x
    x = 4,266,438.35/2,292.51
  6. Step 6: Final answer
    x = 1,861.03

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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.