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Finding the Fourth Proportional to 2,725.41, 4,088.55 and 970.98

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Solution

The fourth proportional to 2,725.41, 4,088.55 and 970.98 is: 1,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.41 : 4,088.55 = 970.98 : x
  2. Step 2: Convert to fraction form
    2,725.41/4,088.55 = 970.98/x
  3. Step 3: Cross multiply
    2,725.41x = 4,088.55 × 970.98
  4. Step 4: Simplify right side
    2,725.41x = 3,969,900.28
  5. Step 5: Solve for x
    x = 3,969,900.28/2,725.41
  6. Step 6: Final answer
    x = 1,456.62

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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.