Home / 1,717.56-2,370.24-971.64

Finding the Fourth Proportional to 1,717.56, 2,370.24 and 971.64

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Solution

The fourth proportional to 1,717.56, 2,370.24 and 971.64 is: 1,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.56 : 2,370.24 = 971.64 : x
  2. Step 2: Convert to fraction form
    1,717.56/2,370.24 = 971.64/x
  3. Step 3: Cross multiply
    1,717.56x = 2,370.24 × 971.64
  4. Step 4: Simplify right side
    1,717.56x = 2,303,019.99
  5. Step 5: Solve for x
    x = 2,303,019.99/1,717.56
  6. Step 6: Final answer
    x = 1,340.87

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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.