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Finding the Fourth Proportional to 2,352.64, 3,523.65 and 1,350.70

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Solution

The fourth proportional to 2,352.64, 3,523.65 and 1,350.70 is: 2,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.64 : 3,523.65 = 1,350.70 : x
  2. Step 2: Convert to fraction form
    2,352.64/3,523.65 = 1,350.70/x
  3. Step 3: Cross multiply
    2,352.64x = 3,523.65 × 1,350.70
  4. Step 4: Simplify right side
    2,352.64x = 4,759,394.06
  5. Step 5: Solve for x
    x = 4,759,394.06/2,352.64
  6. Step 6: Final answer
    x = 2,023.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.