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Finding the Fourth Proportional to 1,315.84, 1,971.42 and 1,172.82

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Solution

The fourth proportional to 1,315.84, 1,971.42 and 1,172.82 is: 1,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.84 : 1,971.42 = 1,172.82 : x
  2. Step 2: Convert to fraction form
    1,315.84/1,971.42 = 1,172.82/x
  3. Step 3: Cross multiply
    1,315.84x = 1,971.42 × 1,172.82
  4. Step 4: Simplify right side
    1,315.84x = 2,312,120.80
  5. Step 5: Solve for x
    x = 2,312,120.80/1,315.84
  6. Step 6: Final answer
    x = 1,757.14

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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.