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Finding the Fourth Proportional to 2,393.90, 3,592.26 and 1,298.24

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Solution

The fourth proportional to 2,393.90, 3,592.26 and 1,298.24 is: 1,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.90 : 3,592.26 = 1,298.24 : x
  2. Step 2: Convert to fraction form
    2,393.90/3,592.26 = 1,298.24/x
  3. Step 3: Cross multiply
    2,393.90x = 3,592.26 × 1,298.24
  4. Step 4: Simplify right side
    2,393.90x = 4,663,615.62
  5. Step 5: Solve for x
    x = 4,663,615.62/2,393.90
  6. Step 6: Final answer
    x = 1,948.12

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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.