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Finding the Fourth Proportional to 4,656.34, 6,984.87 and 1,882.90

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Solution

The fourth proportional to 4,656.34, 6,984.87 and 1,882.90 is: 2,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.34 : 6,984.87 = 1,882.90 : x
  2. Step 2: Convert to fraction form
    4,656.34/6,984.87 = 1,882.90/x
  3. Step 3: Cross multiply
    4,656.34x = 6,984.87 × 1,882.90
  4. Step 4: Simplify right side
    4,656.34x = 13,151,811.72
  5. Step 5: Solve for x
    x = 13,151,811.72/4,656.34
  6. Step 6: Final answer
    x = 2,824.50

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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.