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Finding the Fourth Proportional to 2,660.42, 3,670.05 and 1,597.67

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Solution

The fourth proportional to 2,660.42, 3,670.05 and 1,597.67 is: 2,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.42 : 3,670.05 = 1,597.67 : x
  2. Step 2: Convert to fraction form
    2,660.42/3,670.05 = 1,597.67/x
  3. Step 3: Cross multiply
    2,660.42x = 3,670.05 × 1,597.67
  4. Step 4: Simplify right side
    2,660.42x = 5,863,530.19
  5. Step 5: Solve for x
    x = 5,863,530.19/2,660.42
  6. Step 6: Final answer
    x = 2,203.98

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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.