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Finding the Fourth Proportional to 1,975.59, 2,963.93 and 588.92

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Solution

The fourth proportional to 1,975.59, 2,963.93 and 588.92 is: 883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.59 : 2,963.93 = 588.92 : x
  2. Step 2: Convert to fraction form
    1,975.59/2,963.93 = 588.92/x
  3. Step 3: Cross multiply
    1,975.59x = 2,963.93 × 588.92
  4. Step 4: Simplify right side
    1,975.59x = 1,745,499.89
  5. Step 5: Solve for x
    x = 1,745,499.89/1,975.59
  6. Step 6: Final answer
    x = 883.53

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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.