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Finding the Fourth Proportional to 2,075.05, 3,112.16 and 688.13

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Solution

The fourth proportional to 2,075.05, 3,112.16 and 688.13 is: 1,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.05 : 3,112.16 = 688.13 : x
  2. Step 2: Convert to fraction form
    2,075.05/3,112.16 = 688.13/x
  3. Step 3: Cross multiply
    2,075.05x = 3,112.16 × 688.13
  4. Step 4: Simplify right side
    2,075.05x = 2,141,563.33
  5. Step 5: Solve for x
    x = 2,141,563.33/2,075.05
  6. Step 6: Final answer
    x = 1,032.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.