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Finding the Fourth Proportional to 2,075.93, 3,112.71 and 689.16

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Solution

The fourth proportional to 2,075.93, 3,112.71 and 689.16 is: 1,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.93 : 3,112.71 = 689.16 : x
  2. Step 2: Convert to fraction form
    2,075.93/3,112.71 = 689.16/x
  3. Step 3: Cross multiply
    2,075.93x = 3,112.71 × 689.16
  4. Step 4: Simplify right side
    2,075.93x = 2,145,155.22
  5. Step 5: Solve for x
    x = 2,145,155.22/2,075.93
  6. Step 6: Final answer
    x = 1,033.35

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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.