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Finding the Fourth Proportional to 1,533.60, 2,295.90 and 1,375.26

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Solution

The fourth proportional to 1,533.60, 2,295.90 and 1,375.26 is: 2,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.60 : 2,295.90 = 1,375.26 : x
  2. Step 2: Convert to fraction form
    1,533.60/2,295.90 = 1,375.26/x
  3. Step 3: Cross multiply
    1,533.60x = 2,295.90 × 1,375.26
  4. Step 4: Simplify right side
    1,533.60x = 3,157,459.43
  5. Step 5: Solve for x
    x = 3,157,459.43/1,533.60
  6. Step 6: Final answer
    x = 2,058.85

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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.