Home / 2,971.46-4,457.22-780.26

Finding the Fourth Proportional to 2,971.46, 4,457.22 and 780.26

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Solution

The fourth proportional to 2,971.46, 4,457.22 and 780.26 is: 1,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.46 : 4,457.22 = 780.26 : x
  2. Step 2: Convert to fraction form
    2,971.46/4,457.22 = 780.26/x
  3. Step 3: Cross multiply
    2,971.46x = 4,457.22 × 780.26
  4. Step 4: Simplify right side
    2,971.46x = 3,477,790.48
  5. Step 5: Solve for x
    x = 3,477,790.48/2,971.46
  6. Step 6: Final answer
    x = 1,170.40

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1.5x scale

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.