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Finding the Fourth Proportional to 1,975.89, 2,963.77 and 589.24

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Solution

The fourth proportional to 1,975.89, 2,963.77 and 589.24 is: 883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.89 : 2,963.77 = 589.24 : x
  2. Step 2: Convert to fraction form
    1,975.89/2,963.77 = 589.24/x
  3. Step 3: Cross multiply
    1,975.89x = 2,963.77 × 589.24
  4. Step 4: Simplify right side
    1,975.89x = 1,746,365.16
  5. Step 5: Solve for x
    x = 1,746,365.16/1,975.89
  6. Step 6: Final answer
    x = 883.84

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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.