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Finding the Fourth Proportional to 2,156.41, 2,975.16 and 1,259.74

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Solution

The fourth proportional to 2,156.41, 2,975.16 and 1,259.74 is: 1,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.41 : 2,975.16 = 1,259.74 : x
  2. Step 2: Convert to fraction form
    2,156.41/2,975.16 = 1,259.74/x
  3. Step 3: Cross multiply
    2,156.41x = 2,975.16 × 1,259.74
  4. Step 4: Simplify right side
    2,156.41x = 3,747,928.06
  5. Step 5: Solve for x
    x = 3,747,928.06/2,156.41
  6. Step 6: Final answer
    x = 1,738.04

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1.5x scale

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.