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Finding the Fourth Proportional to 2,409.41, 3,325.01 and 1,415.01

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Solution

The fourth proportional to 2,409.41, 3,325.01 and 1,415.01 is: 1,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.41 : 3,325.01 = 1,415.01 : x
  2. Step 2: Convert to fraction form
    2,409.41/3,325.01 = 1,415.01/x
  3. Step 3: Cross multiply
    2,409.41x = 3,325.01 × 1,415.01
  4. Step 4: Simplify right side
    2,409.41x = 4,704,922.40
  5. Step 5: Solve for x
    x = 4,704,922.40/2,409.41
  6. Step 6: Final answer
    x = 1,952.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.