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Finding the Fourth Proportional to 2,895.24, 3,994.50 and 1,775.01

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Solution

The fourth proportional to 2,895.24, 3,994.50 and 1,775.01 is: 2,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.24 : 3,994.50 = 1,775.01 : x
  2. Step 2: Convert to fraction form
    2,895.24/3,994.50 = 1,775.01/x
  3. Step 3: Cross multiply
    2,895.24x = 3,994.50 × 1,775.01
  4. Step 4: Simplify right side
    2,895.24x = 7,090,277.45
  5. Step 5: Solve for x
    x = 7,090,277.45/2,895.24
  6. Step 6: Final answer
    x = 2,448.94

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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.