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Finding the Fourth Proportional to 2,966.54, 4,457.10 and 2,233.89

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Solution

The fourth proportional to 2,966.54, 4,457.10 and 2,233.89 is: 3,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.54 : 4,457.10 = 2,233.89 : x
  2. Step 2: Convert to fraction form
    2,966.54/4,457.10 = 2,233.89/x
  3. Step 3: Cross multiply
    2,966.54x = 4,457.10 × 2,233.89
  4. Step 4: Simplify right side
    2,966.54x = 9,956,671.12
  5. Step 5: Solve for x
    x = 9,956,671.12/2,966.54
  6. Step 6: Final answer
    x = 3,356.33

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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.