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Finding the Fourth Proportional to 2,352.85, 3,529.27 and 1,054.32

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Solution

The fourth proportional to 2,352.85, 3,529.27 and 1,054.32 is: 1,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.85 : 3,529.27 = 1,054.32 : x
  2. Step 2: Convert to fraction form
    2,352.85/3,529.27 = 1,054.32/x
  3. Step 3: Cross multiply
    2,352.85x = 3,529.27 × 1,054.32
  4. Step 4: Simplify right side
    2,352.85x = 3,720,968.03
  5. Step 5: Solve for x
    x = 3,720,968.03/2,352.85
  6. Step 6: Final answer
    x = 1,581.47

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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.