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Finding the Fourth Proportional to 1,815.96, 2,725.08 and 994.74

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Solution

The fourth proportional to 1,815.96, 2,725.08 and 994.74 is: 1,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.96 : 2,725.08 = 994.74 : x
  2. Step 2: Convert to fraction form
    1,815.96/2,725.08 = 994.74/x
  3. Step 3: Cross multiply
    1,815.96x = 2,725.08 × 994.74
  4. Step 4: Simplify right side
    1,815.96x = 2,710,746.08
  5. Step 5: Solve for x
    x = 2,710,746.08/1,815.96
  6. Step 6: Final answer
    x = 1,492.73

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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.