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Finding the Fourth Proportional to 2,307.76, 3,460.86 and 920.66

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Solution

The fourth proportional to 2,307.76, 3,460.86 and 920.66 is: 1,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.76 : 3,460.86 = 920.66 : x
  2. Step 2: Convert to fraction form
    2,307.76/3,460.86 = 920.66/x
  3. Step 3: Cross multiply
    2,307.76x = 3,460.86 × 920.66
  4. Step 4: Simplify right side
    2,307.76x = 3,186,258.06
  5. Step 5: Solve for x
    x = 3,186,258.06/2,307.76
  6. Step 6: Final answer
    x = 1,380.67

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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.