Home / 2,820.40-4,230.55-971.48

Finding the Fourth Proportional to 2,820.40, 4,230.55 and 971.48

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Solution

The fourth proportional to 2,820.40, 4,230.55 and 971.48 is: 1,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.40 : 4,230.55 = 971.48 : x
  2. Step 2: Convert to fraction form
    2,820.40/4,230.55 = 971.48/x
  3. Step 3: Cross multiply
    2,820.40x = 4,230.55 × 971.48
  4. Step 4: Simplify right side
    2,820.40x = 4,109,882.71
  5. Step 5: Solve for x
    x = 4,109,882.71/2,820.40
  6. Step 6: Final answer
    x = 1,457.20

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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.