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Finding the Fourth Proportional to 3,303, 4,557.98 and 1,976.45

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Solution

The fourth proportional to 3,303, 4,557.98 and 1,976.45 is: 2,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303 : 4,557.98 = 1,976.45 : x
  2. Step 2: Convert to fraction form
    3,303/4,557.98 = 1,976.45/x
  3. Step 3: Cross multiply
    3,303x = 4,557.98 × 1,976.45
  4. Step 4: Simplify right side
    3,303x = 9,008,601.72
  5. Step 5: Solve for x
    x = 9,008,601.72/3,303
  6. Step 6: Final answer
    x = 2,727.40

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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.