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Finding the Fourth Proportional to 4,070.98, 6,107.16 and 1,604.50

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Solution

The fourth proportional to 4,070.98, 6,107.16 and 1,604.50 is: 2,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.98 : 6,107.16 = 1,604.50 : x
  2. Step 2: Convert to fraction form
    4,070.98/6,107.16 = 1,604.50/x
  3. Step 3: Cross multiply
    4,070.98x = 6,107.16 × 1,604.50
  4. Step 4: Simplify right side
    4,070.98x = 9,798,938.22
  5. Step 5: Solve for x
    x = 9,798,938.22/4,070.98
  6. Step 6: Final answer
    x = 2,407.02

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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.