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Finding the Fourth Proportional to 2,339.64, 3,509.52 and 801.72

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Solution

The fourth proportional to 2,339.64, 3,509.52 and 801.72 is: 1,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.64 : 3,509.52 = 801.72 : x
  2. Step 2: Convert to fraction form
    2,339.64/3,509.52 = 801.72/x
  3. Step 3: Cross multiply
    2,339.64x = 3,509.52 × 801.72
  4. Step 4: Simplify right side
    2,339.64x = 2,813,652.37
  5. Step 5: Solve for x
    x = 2,813,652.37/2,339.64
  6. Step 6: Final answer
    x = 1,202.60

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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.