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Finding the Fourth Proportional to 1,386.54, 2,076.78 and 1,075.97

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Solution

The fourth proportional to 1,386.54, 2,076.78 and 1,075.97 is: 1,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.54 : 2,076.78 = 1,075.97 : x
  2. Step 2: Convert to fraction form
    1,386.54/2,076.78 = 1,075.97/x
  3. Step 3: Cross multiply
    1,386.54x = 2,076.78 × 1,075.97
  4. Step 4: Simplify right side
    1,386.54x = 2,234,542.59
  5. Step 5: Solve for x
    x = 2,234,542.59/1,386.54
  6. Step 6: Final answer
    x = 1,611.60

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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.