Home / 2,287.02-3,430.53-1,830.49

Finding the Fourth Proportional to 2,287.02, 3,430.53 and 1,830.49

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Solution

The fourth proportional to 2,287.02, 3,430.53 and 1,830.49 is: 2,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.02 : 3,430.53 = 1,830.49 : x
  2. Step 2: Convert to fraction form
    2,287.02/3,430.53 = 1,830.49/x
  3. Step 3: Cross multiply
    2,287.02x = 3,430.53 × 1,830.49
  4. Step 4: Simplify right side
    2,287.02x = 6,279,550.86
  5. Step 5: Solve for x
    x = 6,279,550.86/2,287.02
  6. Step 6: Final answer
    x = 2,745.74

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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.