Home / 2,824.13-4,237.10-975.20

Finding the Fourth Proportional to 2,824.13, 4,237.10 and 975.20

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Solution

The fourth proportional to 2,824.13, 4,237.10 and 975.20 is: 1,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.13 : 4,237.10 = 975.20 : x
  2. Step 2: Convert to fraction form
    2,824.13/4,237.10 = 975.20/x
  3. Step 3: Cross multiply
    2,824.13x = 4,237.10 × 975.20
  4. Step 4: Simplify right side
    2,824.13x = 4,131,993.86
  5. Step 5: Solve for x
    x = 4,131,993.86/2,824.13
  6. Step 6: Final answer
    x = 1,463.11

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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.