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Finding the Fourth Proportional to 1,986.77, 2,980.70 and 1,165.30

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Solution

The fourth proportional to 1,986.77, 2,980.70 and 1,165.30 is: 1,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.77 : 2,980.70 = 1,165.30 : x
  2. Step 2: Convert to fraction form
    1,986.77/2,980.70 = 1,165.30/x
  3. Step 3: Cross multiply
    1,986.77x = 2,980.70 × 1,165.30
  4. Step 4: Simplify right side
    1,986.77x = 3,473,409.71
  5. Step 5: Solve for x
    x = 3,473,409.71/1,986.77
  6. Step 6: Final answer
    x = 1,748.27

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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.