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Finding the Fourth Proportional to 1,827.78, 2,740.65 and 852.67

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Solution

The fourth proportional to 1,827.78, 2,740.65 and 852.67 is: 1,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.78 : 2,740.65 = 852.67 : x
  2. Step 2: Convert to fraction form
    1,827.78/2,740.65 = 852.67/x
  3. Step 3: Cross multiply
    1,827.78x = 2,740.65 × 852.67
  4. Step 4: Simplify right side
    1,827.78x = 2,336,870.04
  5. Step 5: Solve for x
    x = 2,336,870.04/1,827.78
  6. Step 6: Final answer
    x = 1,278.53

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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.