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Finding the Fourth Proportional to 3,134.75, 4,700.90 and 1,673.10

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Solution

The fourth proportional to 3,134.75, 4,700.90 and 1,673.10 is: 2,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.75 : 4,700.90 = 1,673.10 : x
  2. Step 2: Convert to fraction form
    3,134.75/4,700.90 = 1,673.10/x
  3. Step 3: Cross multiply
    3,134.75x = 4,700.90 × 1,673.10
  4. Step 4: Simplify right side
    3,134.75x = 7,865,075.79
  5. Step 5: Solve for x
    x = 7,865,075.79/3,134.75
  6. Step 6: Final answer
    x = 2,509.00

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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.