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Finding the Fourth Proportional to 2,468.70, 3,703.41 and 909.45

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Solution

The fourth proportional to 2,468.70, 3,703.41 and 909.45 is: 1,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.70 : 3,703.41 = 909.45 : x
  2. Step 2: Convert to fraction form
    2,468.70/3,703.41 = 909.45/x
  3. Step 3: Cross multiply
    2,468.70x = 3,703.41 × 909.45
  4. Step 4: Simplify right side
    2,468.70x = 3,368,066.22
  5. Step 5: Solve for x
    x = 3,368,066.22/2,468.70
  6. Step 6: Final answer
    x = 1,364.31

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Why These Related Problems?

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