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Finding the Fourth Proportional to 2,895.34, 3,994.65 and 1,775.74

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Solution

The fourth proportional to 2,895.34, 3,994.65 and 1,775.74 is: 2,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.34 : 3,994.65 = 1,775.74 : x
  2. Step 2: Convert to fraction form
    2,895.34/3,994.65 = 1,775.74/x
  3. Step 3: Cross multiply
    2,895.34x = 3,994.65 × 1,775.74
  4. Step 4: Simplify right side
    2,895.34x = 7,093,459.79
  5. Step 5: Solve for x
    x = 7,093,459.79/2,895.34
  6. Step 6: Final answer
    x = 2,449.96

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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.