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Finding the Fourth Proportional to 4,322.68, 6,483.04 and 1,690.24

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Solution

The fourth proportional to 4,322.68, 6,483.04 and 1,690.24 is: 2,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.68 : 6,483.04 = 1,690.24 : x
  2. Step 2: Convert to fraction form
    4,322.68/6,483.04 = 1,690.24/x
  3. Step 3: Cross multiply
    4,322.68x = 6,483.04 × 1,690.24
  4. Step 4: Simplify right side
    4,322.68x = 10,957,893.53
  5. Step 5: Solve for x
    x = 10,957,893.53/4,322.68
  6. Step 6: Final answer
    x = 2,534.98

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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.