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Finding the Fourth Proportional to 1,745.95, 2,410.03 and 1,156.67

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Solution

The fourth proportional to 1,745.95, 2,410.03 and 1,156.67 is: 1,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.95 : 2,410.03 = 1,156.67 : x
  2. Step 2: Convert to fraction form
    1,745.95/2,410.03 = 1,156.67/x
  3. Step 3: Cross multiply
    1,745.95x = 2,410.03 × 1,156.67
  4. Step 4: Simplify right side
    1,745.95x = 2,787,609.40
  5. Step 5: Solve for x
    x = 2,787,609.40/1,745.95
  6. Step 6: Final answer
    x = 1,596.61

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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.