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Finding the Fourth Proportional to 2,852.06, 4,278.11 and 877.67

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Solution

The fourth proportional to 2,852.06, 4,278.11 and 877.67 is: 1,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.06 : 4,278.11 = 877.67 : x
  2. Step 2: Convert to fraction form
    2,852.06/4,278.11 = 877.67/x
  3. Step 3: Cross multiply
    2,852.06x = 4,278.11 × 877.67
  4. Step 4: Simplify right side
    2,852.06x = 3,754,743.02
  5. Step 5: Solve for x
    x = 3,754,743.02/2,852.06
  6. Step 6: Final answer
    x = 1,316.50

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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.