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Finding the Fourth Proportional to 1,677.14, 2,515.91 and 581.34

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Solution

The fourth proportional to 1,677.14, 2,515.91 and 581.34 is: 872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.14 : 2,515.91 = 581.34 : x
  2. Step 2: Convert to fraction form
    1,677.14/2,515.91 = 581.34/x
  3. Step 3: Cross multiply
    1,677.14x = 2,515.91 × 581.34
  4. Step 4: Simplify right side
    1,677.14x = 1,462,599.12
  5. Step 5: Solve for x
    x = 1,462,599.12/1,677.14
  6. Step 6: Final answer
    x = 872.08

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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.