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Finding the Fourth Proportional to 2,125.40, 3,188.63 and 970.88

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Solution

The fourth proportional to 2,125.40, 3,188.63 and 970.88 is: 1,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.40 : 3,188.63 = 970.88 : x
  2. Step 2: Convert to fraction form
    2,125.40/3,188.63 = 970.88/x
  3. Step 3: Cross multiply
    2,125.40x = 3,188.63 × 970.88
  4. Step 4: Simplify right side
    2,125.40x = 3,095,763.58
  5. Step 5: Solve for x
    x = 3,095,763.58/2,125.40
  6. Step 6: Final answer
    x = 1,456.56

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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.