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Finding the Fourth Proportional to 3,114.78, 4,673.79 and 1,383

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Solution

The fourth proportional to 3,114.78, 4,673.79 and 1,383 is: 2,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.78 : 4,673.79 = 1,383 : x
  2. Step 2: Convert to fraction form
    3,114.78/4,673.79 = 1,383/x
  3. Step 3: Cross multiply
    3,114.78x = 4,673.79 × 1,383
  4. Step 4: Simplify right side
    3,114.78x = 6,463,851.57
  5. Step 5: Solve for x
    x = 6,463,851.57/3,114.78
  6. Step 6: Final answer
    x = 2,075.22

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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.