Home / 1,648.64-2,274.93-976.55

Finding the Fourth Proportional to 1,648.64, 2,274.93 and 976.55

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Solution

The fourth proportional to 1,648.64, 2,274.93 and 976.55 is: 1,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.64 : 2,274.93 = 976.55 : x
  2. Step 2: Convert to fraction form
    1,648.64/2,274.93 = 976.55/x
  3. Step 3: Cross multiply
    1,648.64x = 2,274.93 × 976.55
  4. Step 4: Simplify right side
    1,648.64x = 2,221,571.52
  5. Step 5: Solve for x
    x = 2,221,571.52/1,648.64
  6. Step 6: Final answer
    x = 1,347.52

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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.