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Finding the Fourth Proportional to 2,953, 4,075.68 and 1,711

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Solution

The fourth proportional to 2,953, 4,075.68 and 1,711 is: 2,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953 : 4,075.68 = 1,711 : x
  2. Step 2: Convert to fraction form
    2,953/4,075.68 = 1,711/x
  3. Step 3: Cross multiply
    2,953x = 4,075.68 × 1,711
  4. Step 4: Simplify right side
    2,953x = 6,973,488.48
  5. Step 5: Solve for x
    x = 6,973,488.48/2,953
  6. Step 6: Final answer
    x = 2,361.49

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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.