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Finding the Fourth Proportional to 2,063.49, 3,095.19 and 503.50

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Solution

The fourth proportional to 2,063.49, 3,095.19 and 503.50 is: 755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.49 : 3,095.19 = 503.50 : x
  2. Step 2: Convert to fraction form
    2,063.49/3,095.19 = 503.50/x
  3. Step 3: Cross multiply
    2,063.49x = 3,095.19 × 503.50
  4. Step 4: Simplify right side
    2,063.49x = 1,558,428.17
  5. Step 5: Solve for x
    x = 1,558,428.17/2,063.49
  6. Step 6: Final answer
    x = 755.24

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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.