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Finding the Fourth Proportional to 2,353.60, 3,530.64 and 622.36

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Solution

The fourth proportional to 2,353.60, 3,530.64 and 622.36 is: 933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.60 : 3,530.64 = 622.36 : x
  2. Step 2: Convert to fraction form
    2,353.60/3,530.64 = 622.36/x
  3. Step 3: Cross multiply
    2,353.60x = 3,530.64 × 622.36
  4. Step 4: Simplify right side
    2,353.60x = 2,197,329.11
  5. Step 5: Solve for x
    x = 2,197,329.11/2,353.60
  6. Step 6: Final answer
    x = 933.60

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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.