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Finding the Fourth Proportional to 2,353.83, 3,530.76 and 598.83

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Solution

The fourth proportional to 2,353.83, 3,530.76 and 598.83 is: 898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.83 : 3,530.76 = 598.83 : x
  2. Step 2: Convert to fraction form
    2,353.83/3,530.76 = 598.83/x
  3. Step 3: Cross multiply
    2,353.83x = 3,530.76 × 598.83
  4. Step 4: Simplify right side
    2,353.83x = 2,114,344.37
  5. Step 5: Solve for x
    x = 2,114,344.37/2,353.83
  6. Step 6: Final answer
    x = 898.26

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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.