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Finding the Fourth Proportional to 4,961.60, 7,442.08 and 1,674.40

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Solution

The fourth proportional to 4,961.60, 7,442.08 and 1,674.40 is: 2,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.60 : 7,442.08 = 1,674.40 : x
  2. Step 2: Convert to fraction form
    4,961.60/7,442.08 = 1,674.40/x
  3. Step 3: Cross multiply
    4,961.60x = 7,442.08 × 1,674.40
  4. Step 4: Simplify right side
    4,961.60x = 12,461,018.75
  5. Step 5: Solve for x
    x = 12,461,018.75/4,961.60
  6. Step 6: Final answer
    x = 2,511.49

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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.