Home / 1,975.16-2,961.76-1,153.64

Finding the Fourth Proportional to 1,975.16, 2,961.76 and 1,153.64

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Solution

The fourth proportional to 1,975.16, 2,961.76 and 1,153.64 is: 1,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.16 : 2,961.76 = 1,153.64 : x
  2. Step 2: Convert to fraction form
    1,975.16/2,961.76 = 1,153.64/x
  3. Step 3: Cross multiply
    1,975.16x = 2,961.76 × 1,153.64
  4. Step 4: Simplify right side
    1,975.16x = 3,416,804.81
  5. Step 5: Solve for x
    x = 3,416,804.81/1,975.16
  6. Step 6: Final answer
    x = 1,729.89

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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.