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Finding the Fourth Proportional to 2,075.40, 2,865.08 and 1,626.48

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Solution

The fourth proportional to 2,075.40, 2,865.08 and 1,626.48 is: 2,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.40 : 2,865.08 = 1,626.48 : x
  2. Step 2: Convert to fraction form
    2,075.40/2,865.08 = 1,626.48/x
  3. Step 3: Cross multiply
    2,075.40x = 2,865.08 × 1,626.48
  4. Step 4: Simplify right side
    2,075.40x = 4,659,999.38
  5. Step 5: Solve for x
    x = 4,659,999.38/2,075.40
  6. Step 6: Final answer
    x = 2,245.35

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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.