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Finding the Fourth Proportional to 1,975.61, 2,963.16 and 921.80

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Solution

The fourth proportional to 1,975.61, 2,963.16 and 921.80 is: 1,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.61 : 2,963.16 = 921.80 : x
  2. Step 2: Convert to fraction form
    1,975.61/2,963.16 = 921.80/x
  3. Step 3: Cross multiply
    1,975.61x = 2,963.16 × 921.80
  4. Step 4: Simplify right side
    1,975.61x = 2,731,440.89
  5. Step 5: Solve for x
    x = 2,731,440.89/1,975.61
  6. Step 6: Final answer
    x = 1,382.58

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1.5x scale

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.