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Finding the Fourth Proportional to 1,860.76, 2,584.68 and 1,830.99

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Solution

The fourth proportional to 1,860.76, 2,584.68 and 1,830.99 is: 2,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.76 : 2,584.68 = 1,830.99 : x
  2. Step 2: Convert to fraction form
    1,860.76/2,584.68 = 1,830.99/x
  3. Step 3: Cross multiply
    1,860.76x = 2,584.68 × 1,830.99
  4. Step 4: Simplify right side
    1,860.76x = 4,732,523.23
  5. Step 5: Solve for x
    x = 4,732,523.23/1,860.76
  6. Step 6: Final answer
    x = 2,543.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.