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Finding the Fourth Proportional to 2,394.95, 3,589.29 and 1,006.45

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Solution

The fourth proportional to 2,394.95, 3,589.29 and 1,006.45 is: 1,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.95 : 3,589.29 = 1,006.45 : x
  2. Step 2: Convert to fraction form
    2,394.95/3,589.29 = 1,006.45/x
  3. Step 3: Cross multiply
    2,394.95x = 3,589.29 × 1,006.45
  4. Step 4: Simplify right side
    2,394.95x = 3,612,431.95
  5. Step 5: Solve for x
    x = 3,612,431.95/2,394.95
  6. Step 6: Final answer
    x = 1,508.36

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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.