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Finding the Fourth Proportional to 4,341.50, 6,512.26 and 1,263.50

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Solution

The fourth proportional to 4,341.50, 6,512.26 and 1,263.50 is: 1,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.50 : 6,512.26 = 1,263.50 : x
  2. Step 2: Convert to fraction form
    4,341.50/6,512.26 = 1,263.50/x
  3. Step 3: Cross multiply
    4,341.50x = 6,512.26 × 1,263.50
  4. Step 4: Simplify right side
    4,341.50x = 8,228,240.51
  5. Step 5: Solve for x
    x = 8,228,240.51/4,341.50
  6. Step 6: Final answer
    x = 1,895.25

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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.