Home / 3,141.40-4,706.70-2,045.20

Finding the Fourth Proportional to 3,141.40, 4,706.70 and 2,045.20

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Solution

The fourth proportional to 3,141.40, 4,706.70 and 2,045.20 is: 3,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.40 : 4,706.70 = 2,045.20 : x
  2. Step 2: Convert to fraction form
    3,141.40/4,706.70 = 2,045.20/x
  3. Step 3: Cross multiply
    3,141.40x = 4,706.70 × 2,045.20
  4. Step 4: Simplify right side
    3,141.40x = 9,626,142.84
  5. Step 5: Solve for x
    x = 9,626,142.84/3,141.40
  6. Step 6: Final answer
    x = 3,064.28

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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.