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Finding the Fourth Proportional to 1,546.58, 2,323.12 and 1,352.18

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Solution

The fourth proportional to 1,546.58, 2,323.12 and 1,352.18 is: 2,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.58 : 2,323.12 = 1,352.18 : x
  2. Step 2: Convert to fraction form
    1,546.58/2,323.12 = 1,352.18/x
  3. Step 3: Cross multiply
    1,546.58x = 2,323.12 × 1,352.18
  4. Step 4: Simplify right side
    1,546.58x = 3,141,276.40
  5. Step 5: Solve for x
    x = 3,141,276.40/1,546.58
  6. Step 6: Final answer
    x = 2,031.11

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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.