Home / 1,973.06-2,959.84-586.44

Finding the Fourth Proportional to 1,973.06, 2,959.84 and 586.44

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Solution

The fourth proportional to 1,973.06, 2,959.84 and 586.44 is: 879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.06 : 2,959.84 = 586.44 : x
  2. Step 2: Convert to fraction form
    1,973.06/2,959.84 = 586.44/x
  3. Step 3: Cross multiply
    1,973.06x = 2,959.84 × 586.44
  4. Step 4: Simplify right side
    1,973.06x = 1,735,769.30
  5. Step 5: Solve for x
    x = 1,735,769.30/1,973.06
  6. Step 6: Final answer
    x = 879.74

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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.