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Finding the Fourth Proportional to 2,984.95, 4,478.91 and 2,258.98

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Solution

The fourth proportional to 2,984.95, 4,478.91 and 2,258.98 is: 3,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.95 : 4,478.91 = 2,258.98 : x
  2. Step 2: Convert to fraction form
    2,984.95/4,478.91 = 2,258.98/x
  3. Step 3: Cross multiply
    2,984.95x = 4,478.91 × 2,258.98
  4. Step 4: Simplify right side
    2,984.95x = 10,117,768.11
  5. Step 5: Solve for x
    x = 10,117,768.11/2,984.95
  6. Step 6: Final answer
    x = 3,389.59

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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.