Home / 2,117-2,921.46-1,172.84

Finding the Fourth Proportional to 2,117, 2,921.46 and 1,172.84

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Solution

The fourth proportional to 2,117, 2,921.46 and 1,172.84 is: 1,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117 : 2,921.46 = 1,172.84 : x
  2. Step 2: Convert to fraction form
    2,117/2,921.46 = 1,172.84/x
  3. Step 3: Cross multiply
    2,117x = 2,921.46 × 1,172.84
  4. Step 4: Simplify right side
    2,117x = 3,426,405.15
  5. Step 5: Solve for x
    x = 3,426,405.15/2,117
  6. Step 6: Final answer
    x = 1,618.52

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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.