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Finding the Fourth Proportional to 2,705.34, 3,727.80 and 2,075.88

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Solution

The fourth proportional to 2,705.34, 3,727.80 and 2,075.88 is: 2,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.34 : 3,727.80 = 2,075.88 : x
  2. Step 2: Convert to fraction form
    2,705.34/3,727.80 = 2,075.88/x
  3. Step 3: Cross multiply
    2,705.34x = 3,727.80 × 2,075.88
  4. Step 4: Simplify right side
    2,705.34x = 7,738,465.46
  5. Step 5: Solve for x
    x = 7,738,465.46/2,705.34
  6. Step 6: Final answer
    x = 2,860.44

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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.