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Finding the Fourth Proportional to 3,263.06, 4,501.50 and 1,865

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Solution

The fourth proportional to 3,263.06, 4,501.50 and 1,865 is: 2,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.06 : 4,501.50 = 1,865 : x
  2. Step 2: Convert to fraction form
    3,263.06/4,501.50 = 1,865/x
  3. Step 3: Cross multiply
    3,263.06x = 4,501.50 × 1,865
  4. Step 4: Simplify right side
    3,263.06x = 8,395,297.50
  5. Step 5: Solve for x
    x = 8,395,297.50/3,263.06
  6. Step 6: Final answer
    x = 2,572.83

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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.