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Finding the Fourth Proportional to 2,952.96, 4,075.13 and 1,626.65

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Solution

The fourth proportional to 2,952.96, 4,075.13 and 1,626.65 is: 2,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.96 : 4,075.13 = 1,626.65 : x
  2. Step 2: Convert to fraction form
    2,952.96/4,075.13 = 1,626.65/x
  3. Step 3: Cross multiply
    2,952.96x = 4,075.13 × 1,626.65
  4. Step 4: Simplify right side
    2,952.96x = 6,628,810.21
  5. Step 5: Solve for x
    x = 6,628,810.21/2,952.96
  6. Step 6: Final answer
    x = 2,244.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.