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Finding the Fourth Proportional to 2,392.29, 3,587.36 and 930.33

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Solution

The fourth proportional to 2,392.29, 3,587.36 and 930.33 is: 1,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.29 : 3,587.36 = 930.33 : x
  2. Step 2: Convert to fraction form
    2,392.29/3,587.36 = 930.33/x
  3. Step 3: Cross multiply
    2,392.29x = 3,587.36 × 930.33
  4. Step 4: Simplify right side
    2,392.29x = 3,337,423.98
  5. Step 5: Solve for x
    x = 3,337,423.98/2,392.29
  6. Step 6: Final answer
    x = 1,395.08

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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.