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Finding the Fourth Proportional to 2,978.62, 4,461.16 and 2,564.46

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Solution

The fourth proportional to 2,978.62, 4,461.16 and 2,564.46 is: 3,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.62 : 4,461.16 = 2,564.46 : x
  2. Step 2: Convert to fraction form
    2,978.62/4,461.16 = 2,564.46/x
  3. Step 3: Cross multiply
    2,978.62x = 4,461.16 × 2,564.46
  4. Step 4: Simplify right side
    2,978.62x = 11,440,466.37
  5. Step 5: Solve for x
    x = 11,440,466.37/2,978.62
  6. Step 6: Final answer
    x = 3,840.86

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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.