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Finding the Fourth Proportional to 2,290.56, 3,156.16 and 1,553.28

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Solution

The fourth proportional to 2,290.56, 3,156.16 and 1,553.28 is: 2,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.56 : 3,156.16 = 1,553.28 : x
  2. Step 2: Convert to fraction form
    2,290.56/3,156.16 = 1,553.28/x
  3. Step 3: Cross multiply
    2,290.56x = 3,156.16 × 1,553.28
  4. Step 4: Simplify right side
    2,290.56x = 4,902,400.20
  5. Step 5: Solve for x
    x = 4,902,400.20/2,290.56
  6. Step 6: Final answer
    x = 2,140.26

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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.