Home / 2,971.26-4,457.37-1,023

Finding the Fourth Proportional to 2,971.26, 4,457.37 and 1,023

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Solution

The fourth proportional to 2,971.26, 4,457.37 and 1,023 is: 1,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.26 : 4,457.37 = 1,023 : x
  2. Step 2: Convert to fraction form
    2,971.26/4,457.37 = 1,023/x
  3. Step 3: Cross multiply
    2,971.26x = 4,457.37 × 1,023
  4. Step 4: Simplify right side
    2,971.26x = 4,559,889.51
  5. Step 5: Solve for x
    x = 4,559,889.51/2,971.26
  6. Step 6: Final answer
    x = 1,534.67

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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.