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Finding the Fourth Proportional to 2,084.70, 3,125.83 and 989.05

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Solution

The fourth proportional to 2,084.70, 3,125.83 and 989.05 is: 1,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.70 : 3,125.83 = 989.05 : x
  2. Step 2: Convert to fraction form
    2,084.70/3,125.83 = 989.05/x
  3. Step 3: Cross multiply
    2,084.70x = 3,125.83 × 989.05
  4. Step 4: Simplify right side
    2,084.70x = 3,091,602.16
  5. Step 5: Solve for x
    x = 3,091,602.16/2,084.70
  6. Step 6: Final answer
    x = 1,483.00

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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.