Home / 1,970.12-2,946-1,237.52

Finding the Fourth Proportional to 1,970.12, 2,946 and 1,237.52

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Solution

The fourth proportional to 1,970.12, 2,946 and 1,237.52 is: 1,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.12 : 2,946 = 1,237.52 : x
  2. Step 2: Convert to fraction form
    1,970.12/2,946 = 1,237.52/x
  3. Step 3: Cross multiply
    1,970.12x = 2,946 × 1,237.52
  4. Step 4: Simplify right side
    1,970.12x = 3,645,733.92
  5. Step 5: Solve for x
    x = 3,645,733.92/1,970.12
  6. Step 6: Final answer
    x = 1,850.51

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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.