Home / 1,973.14-2,958.63-586.06

Finding the Fourth Proportional to 1,973.14, 2,958.63 and 586.06

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Solution

The fourth proportional to 1,973.14, 2,958.63 and 586.06 is: 878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.14 : 2,958.63 = 586.06 : x
  2. Step 2: Convert to fraction form
    1,973.14/2,958.63 = 586.06/x
  3. Step 3: Cross multiply
    1,973.14x = 2,958.63 × 586.06
  4. Step 4: Simplify right side
    1,973.14x = 1,733,934.70
  5. Step 5: Solve for x
    x = 1,733,934.70/1,973.14
  6. Step 6: Final answer
    x = 878.77

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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.