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Finding the Fourth Proportional to 3,303.28, 4,558.50 and 1,906

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Solution

The fourth proportional to 3,303.28, 4,558.50 and 1,906 is: 2,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.28 : 4,558.50 = 1,906 : x
  2. Step 2: Convert to fraction form
    3,303.28/4,558.50 = 1,906/x
  3. Step 3: Cross multiply
    3,303.28x = 4,558.50 × 1,906
  4. Step 4: Simplify right side
    3,303.28x = 8,688,501
  5. Step 5: Solve for x
    x = 8,688,501/3,303.28
  6. Step 6: Final answer
    x = 2,630.26

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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.