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Finding the Fourth Proportional to 2,666.84, 4,004.58 and 1,647.32

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Solution

The fourth proportional to 2,666.84, 4,004.58 and 1,647.32 is: 2,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.84 : 4,004.58 = 1,647.32 : x
  2. Step 2: Convert to fraction form
    2,666.84/4,004.58 = 1,647.32/x
  3. Step 3: Cross multiply
    2,666.84x = 4,004.58 × 1,647.32
  4. Step 4: Simplify right side
    2,666.84x = 6,596,824.73
  5. Step 5: Solve for x
    x = 6,596,824.73/2,666.84
  6. Step 6: Final answer
    x = 2,473.65

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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.