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Finding the Fourth Proportional to 1,310.51, 1,973.57 and 1,181.99

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Solution

The fourth proportional to 1,310.51, 1,973.57 and 1,181.99 is: 1,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.51 : 1,973.57 = 1,181.99 : x
  2. Step 2: Convert to fraction form
    1,310.51/1,973.57 = 1,181.99/x
  3. Step 3: Cross multiply
    1,310.51x = 1,973.57 × 1,181.99
  4. Step 4: Simplify right side
    1,310.51x = 2,332,740.00
  5. Step 5: Solve for x
    x = 2,332,740.00/1,310.51
  6. Step 6: Final answer
    x = 1,780.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.