Home / 1,684.06-2,324.02-975.93

Finding the Fourth Proportional to 1,684.06, 2,324.02 and 975.93

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Solution

The fourth proportional to 1,684.06, 2,324.02 and 975.93 is: 1,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.06 : 2,324.02 = 975.93 : x
  2. Step 2: Convert to fraction form
    1,684.06/2,324.02 = 975.93/x
  3. Step 3: Cross multiply
    1,684.06x = 2,324.02 × 975.93
  4. Step 4: Simplify right side
    1,684.06x = 2,268,080.84
  5. Step 5: Solve for x
    x = 2,268,080.84/1,684.06
  6. Step 6: Final answer
    x = 1,346.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.