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Finding the Fourth Proportional to 2,953.50, 4,075.80 and 1,759.31

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Solution

The fourth proportional to 2,953.50, 4,075.80 and 1,759.31 is: 2,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.50 : 4,075.80 = 1,759.31 : x
  2. Step 2: Convert to fraction form
    2,953.50/4,075.80 = 1,759.31/x
  3. Step 3: Cross multiply
    2,953.50x = 4,075.80 × 1,759.31
  4. Step 4: Simplify right side
    2,953.50x = 7,170,575.32
  5. Step 5: Solve for x
    x = 7,170,575.32/2,953.50
  6. Step 6: Final answer
    x = 2,427.82

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