Home / 1,634.42-2,255.64-971.40

Finding the Fourth Proportional to 1,634.42, 2,255.64 and 971.40

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Solution

The fourth proportional to 1,634.42, 2,255.64 and 971.40 is: 1,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.42 : 2,255.64 = 971.40 : x
  2. Step 2: Convert to fraction form
    1,634.42/2,255.64 = 971.40/x
  3. Step 3: Cross multiply
    1,634.42x = 2,255.64 × 971.40
  4. Step 4: Simplify right side
    1,634.42x = 2,191,128.70
  5. Step 5: Solve for x
    x = 2,191,128.70/1,634.42
  6. Step 6: Final answer
    x = 1,340.62

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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.