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Finding the Fourth Proportional to 2,830.68, 3,907.85 and 1,836.54

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Solution

The fourth proportional to 2,830.68, 3,907.85 and 1,836.54 is: 2,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.68 : 3,907.85 = 1,836.54 : x
  2. Step 2: Convert to fraction form
    2,830.68/3,907.85 = 1,836.54/x
  3. Step 3: Cross multiply
    2,830.68x = 3,907.85 × 1,836.54
  4. Step 4: Simplify right side
    2,830.68x = 7,176,913.66
  5. Step 5: Solve for x
    x = 7,176,913.66/2,830.68
  6. Step 6: Final answer
    x = 2,535.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.