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Finding the Fourth Proportional to 1,776.82, 2,664.27 and 1,160.50

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Solution

The fourth proportional to 1,776.82, 2,664.27 and 1,160.50 is: 1,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.82 : 2,664.27 = 1,160.50 : x
  2. Step 2: Convert to fraction form
    1,776.82/2,664.27 = 1,160.50/x
  3. Step 3: Cross multiply
    1,776.82x = 2,664.27 × 1,160.50
  4. Step 4: Simplify right side
    1,776.82x = 3,091,885.34
  5. Step 5: Solve for x
    x = 3,091,885.34/1,776.82
  6. Step 6: Final answer
    x = 1,740.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.