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Finding the Fourth Proportional to 2,409.95, 3,614.93 and 1,240.30

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Solution

The fourth proportional to 2,409.95, 3,614.93 and 1,240.30 is: 1,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.95 : 3,614.93 = 1,240.30 : x
  2. Step 2: Convert to fraction form
    2,409.95/3,614.93 = 1,240.30/x
  3. Step 3: Cross multiply
    2,409.95x = 3,614.93 × 1,240.30
  4. Step 4: Simplify right side
    2,409.95x = 4,483,580.31
  5. Step 5: Solve for x
    x = 4,483,580.31/2,409.95
  6. Step 6: Final answer
    x = 1,860.44

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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.