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Finding the Fourth Proportional to 2,075.14, 3,112.70 and 707.14

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Solution

The fourth proportional to 2,075.14, 3,112.70 and 707.14 is: 1,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.14 : 3,112.70 = 707.14 : x
  2. Step 2: Convert to fraction form
    2,075.14/3,112.70 = 707.14/x
  3. Step 3: Cross multiply
    2,075.14x = 3,112.70 × 707.14
  4. Step 4: Simplify right side
    2,075.14x = 2,201,114.68
  5. Step 5: Solve for x
    x = 2,201,114.68/2,075.14
  6. Step 6: Final answer
    x = 1,060.71

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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.