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Finding the Fourth Proportional to 1,677.12, 2,513.04 and 1,415.90

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Solution

The fourth proportional to 1,677.12, 2,513.04 and 1,415.90 is: 2,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.12 : 2,513.04 = 1,415.90 : x
  2. Step 2: Convert to fraction form
    1,677.12/2,513.04 = 1,415.90/x
  3. Step 3: Cross multiply
    1,677.12x = 2,513.04 × 1,415.90
  4. Step 4: Simplify right side
    1,677.12x = 3,558,200.77
  5. Step 5: Solve for x
    x = 3,558,200.77/1,677.12
  6. Step 6: Final answer
    x = 2,121.61

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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.