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Finding the Fourth Proportional to 2,436.89, 3,655.69 and 705.29

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Solution

The fourth proportional to 2,436.89, 3,655.69 and 705.29 is: 1,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.89 : 3,655.69 = 705.29 : x
  2. Step 2: Convert to fraction form
    2,436.89/3,655.69 = 705.29/x
  3. Step 3: Cross multiply
    2,436.89x = 3,655.69 × 705.29
  4. Step 4: Simplify right side
    2,436.89x = 2,578,301.56
  5. Step 5: Solve for x
    x = 2,578,301.56/2,436.89
  6. Step 6: Final answer
    x = 1,058.03

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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.