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Finding the Fourth Proportional to 3,035.46, 4,553.14 and 983.46

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Solution

The fourth proportional to 3,035.46, 4,553.14 and 983.46 is: 1,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.46 : 4,553.14 = 983.46 : x
  2. Step 2: Convert to fraction form
    3,035.46/4,553.14 = 983.46/x
  3. Step 3: Cross multiply
    3,035.46x = 4,553.14 × 983.46
  4. Step 4: Simplify right side
    3,035.46x = 4,477,831.06
  5. Step 5: Solve for x
    x = 4,477,831.06/3,035.46
  6. Step 6: Final answer
    x = 1,475.17

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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.