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Finding the Fourth Proportional to 2,966.16, 4,448.94 and 1,018.50

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Solution

The fourth proportional to 2,966.16, 4,448.94 and 1,018.50 is: 1,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.16 : 4,448.94 = 1,018.50 : x
  2. Step 2: Convert to fraction form
    2,966.16/4,448.94 = 1,018.50/x
  3. Step 3: Cross multiply
    2,966.16x = 4,448.94 × 1,018.50
  4. Step 4: Simplify right side
    2,966.16x = 4,531,245.39
  5. Step 5: Solve for x
    x = 4,531,245.39/2,966.16
  6. Step 6: Final answer
    x = 1,527.65

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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.