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Finding the Fourth Proportional to 1,643.76, 2,476.60 and 1,487.77

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Solution

The fourth proportional to 1,643.76, 2,476.60 and 1,487.77 is: 2,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.76 : 2,476.60 = 1,487.77 : x
  2. Step 2: Convert to fraction form
    1,643.76/2,476.60 = 1,487.77/x
  3. Step 3: Cross multiply
    1,643.76x = 2,476.60 × 1,487.77
  4. Step 4: Simplify right side
    1,643.76x = 3,684,611.18
  5. Step 5: Solve for x
    x = 3,684,611.18/1,643.76
  6. Step 6: Final answer
    x = 2,241.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.