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Finding the Fourth Proportional to 1,967.90, 2,715.53 and 1,083.48

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Solution

The fourth proportional to 1,967.90, 2,715.53 and 1,083.48 is: 1,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.90 : 2,715.53 = 1,083.48 : x
  2. Step 2: Convert to fraction form
    1,967.90/2,715.53 = 1,083.48/x
  3. Step 3: Cross multiply
    1,967.90x = 2,715.53 × 1,083.48
  4. Step 4: Simplify right side
    1,967.90x = 2,942,206.84
  5. Step 5: Solve for x
    x = 2,942,206.84/1,967.90
  6. Step 6: Final answer
    x = 1,495.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.