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Finding the Fourth Proportional to 3,075.93, 4,243.50 and 1,957.48

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Solution

The fourth proportional to 3,075.93, 4,243.50 and 1,957.48 is: 2,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.93 : 4,243.50 = 1,957.48 : x
  2. Step 2: Convert to fraction form
    3,075.93/4,243.50 = 1,957.48/x
  3. Step 3: Cross multiply
    3,075.93x = 4,243.50 × 1,957.48
  4. Step 4: Simplify right side
    3,075.93x = 8,306,566.38
  5. Step 5: Solve for x
    x = 8,306,566.38/3,075.93
  6. Step 6: Final answer
    x = 2,700.51

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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.