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Finding the Fourth Proportional to 2,362.95, 3,544.26 and 1,130.03

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Solution

The fourth proportional to 2,362.95, 3,544.26 and 1,130.03 is: 1,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.95 : 3,544.26 = 1,130.03 : x
  2. Step 2: Convert to fraction form
    2,362.95/3,544.26 = 1,130.03/x
  3. Step 3: Cross multiply
    2,362.95x = 3,544.26 × 1,130.03
  4. Step 4: Simplify right side
    2,362.95x = 4,005,133.64
  5. Step 5: Solve for x
    x = 4,005,133.64/2,362.95
  6. Step 6: Final answer
    x = 1,694.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.