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Finding the Fourth Proportional to 3,070.90, 4,604.73 and 1,337.50

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Solution

The fourth proportional to 3,070.90, 4,604.73 and 1,337.50 is: 2,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.90 : 4,604.73 = 1,337.50 : x
  2. Step 2: Convert to fraction form
    3,070.90/4,604.73 = 1,337.50/x
  3. Step 3: Cross multiply
    3,070.90x = 4,604.73 × 1,337.50
  4. Step 4: Simplify right side
    3,070.90x = 6,158,826.38
  5. Step 5: Solve for x
    x = 6,158,826.38/3,070.90
  6. Step 6: Final answer
    x = 2,005.54

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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.