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Finding the Fourth Proportional to 1,973.16, 2,960.75 and 999.29

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Solution

The fourth proportional to 1,973.16, 2,960.75 and 999.29 is: 1,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.16 : 2,960.75 = 999.29 : x
  2. Step 2: Convert to fraction form
    1,973.16/2,960.75 = 999.29/x
  3. Step 3: Cross multiply
    1,973.16x = 2,960.75 × 999.29
  4. Step 4: Simplify right side
    1,973.16x = 2,958,628.07
  5. Step 5: Solve for x
    x = 2,958,628.07/1,973.16
  6. Step 6: Final answer
    x = 1,499.44

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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.