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Finding the Fourth Proportional to 2,394.50, 3,303.28 and 1,598.20

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Solution

The fourth proportional to 2,394.50, 3,303.28 and 1,598.20 is: 2,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.50 : 3,303.28 = 1,598.20 : x
  2. Step 2: Convert to fraction form
    2,394.50/3,303.28 = 1,598.20/x
  3. Step 3: Cross multiply
    2,394.50x = 3,303.28 × 1,598.20
  4. Step 4: Simplify right side
    2,394.50x = 5,279,289.84
  5. Step 5: Solve for x
    x = 5,279,289.84/2,394.50
  6. Step 6: Final answer
    x = 2,204.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.