Home / 2,820.24-4,230.63-971.10

Finding the Fourth Proportional to 2,820.24, 4,230.63 and 971.10

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Solution

The fourth proportional to 2,820.24, 4,230.63 and 971.10 is: 1,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.24 : 4,230.63 = 971.10 : x
  2. Step 2: Convert to fraction form
    2,820.24/4,230.63 = 971.10/x
  3. Step 3: Cross multiply
    2,820.24x = 4,230.63 × 971.10
  4. Step 4: Simplify right side
    2,820.24x = 4,108,364.79
  5. Step 5: Solve for x
    x = 4,108,364.79/2,820.24
  6. Step 6: Final answer
    x = 1,456.74

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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.