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Finding the Fourth Proportional to 3,065.62, 4,598.84 and 984.93

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Solution

The fourth proportional to 3,065.62, 4,598.84 and 984.93 is: 1,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.62 : 4,598.84 = 984.93 : x
  2. Step 2: Convert to fraction form
    3,065.62/4,598.84 = 984.93/x
  3. Step 3: Cross multiply
    3,065.62x = 4,598.84 × 984.93
  4. Step 4: Simplify right side
    3,065.62x = 4,529,507.56
  5. Step 5: Solve for x
    x = 4,529,507.56/3,065.62
  6. Step 6: Final answer
    x = 1,477.52

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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.