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Finding the Fourth Proportional to 1,923.25, 2,884.88 and 690.74

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Solution

The fourth proportional to 1,923.25, 2,884.88 and 690.74 is: 1,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.25 : 2,884.88 = 690.74 : x
  2. Step 2: Convert to fraction form
    1,923.25/2,884.88 = 690.74/x
  3. Step 3: Cross multiply
    1,923.25x = 2,884.88 × 690.74
  4. Step 4: Simplify right side
    1,923.25x = 1,992,702.01
  5. Step 5: Solve for x
    x = 1,992,702.01/1,923.25
  6. Step 6: Final answer
    x = 1,036.11

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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.