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Finding the Fourth Proportional to 1,619.64, 2,234.52 and 1,462.50

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Solution

The fourth proportional to 1,619.64, 2,234.52 and 1,462.50 is: 2,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.64 : 2,234.52 = 1,462.50 : x
  2. Step 2: Convert to fraction form
    1,619.64/2,234.52 = 1,462.50/x
  3. Step 3: Cross multiply
    1,619.64x = 2,234.52 × 1,462.50
  4. Step 4: Simplify right side
    1,619.64x = 3,267,985.50
  5. Step 5: Solve for x
    x = 3,267,985.50/1,619.64
  6. Step 6: Final answer
    x = 2,017.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.