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Finding the Fourth Proportional to 2,290.56, 3,436.40 and 1,058.82

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Solution

The fourth proportional to 2,290.56, 3,436.40 and 1,058.82 is: 1,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.56 : 3,436.40 = 1,058.82 : x
  2. Step 2: Convert to fraction form
    2,290.56/3,436.40 = 1,058.82/x
  3. Step 3: Cross multiply
    2,290.56x = 3,436.40 × 1,058.82
  4. Step 4: Simplify right side
    2,290.56x = 3,638,529.05
  5. Step 5: Solve for x
    x = 3,638,529.05/2,290.56
  6. Step 6: Final answer
    x = 1,588.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.