Home / 1,416.18-2,124.73-685.84

Finding the Fourth Proportional to 1,416.18, 2,124.73 and 685.84

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Solution

The fourth proportional to 1,416.18, 2,124.73 and 685.84 is: 1,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.18 : 2,124.73 = 685.84 : x
  2. Step 2: Convert to fraction form
    1,416.18/2,124.73 = 685.84/x
  3. Step 3: Cross multiply
    1,416.18x = 2,124.73 × 685.84
  4. Step 4: Simplify right side
    1,416.18x = 1,457,224.82
  5. Step 5: Solve for x
    x = 1,457,224.82/1,416.18
  6. Step 6: Final answer
    x = 1,028.98

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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.