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Finding the Fourth Proportional to 1,651.61, 2,477.84 and 1,165.61

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Solution

The fourth proportional to 1,651.61, 2,477.84 and 1,165.61 is: 1,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.61 : 2,477.84 = 1,165.61 : x
  2. Step 2: Convert to fraction form
    1,651.61/2,477.84 = 1,165.61/x
  3. Step 3: Cross multiply
    1,651.61x = 2,477.84 × 1,165.61
  4. Step 4: Simplify right side
    1,651.61x = 2,888,195.45
  5. Step 5: Solve for x
    x = 2,888,195.45/1,651.61
  6. Step 6: Final answer
    x = 1,748.71

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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.