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Finding the Fourth Proportional to 1,641.34, 2,459.88 and 666.30

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Solution

The fourth proportional to 1,641.34, 2,459.88 and 666.30 is: 998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.34 : 2,459.88 = 666.30 : x
  2. Step 2: Convert to fraction form
    1,641.34/2,459.88 = 666.30/x
  3. Step 3: Cross multiply
    1,641.34x = 2,459.88 × 666.30
  4. Step 4: Simplify right side
    1,641.34x = 1,639,018.04
  5. Step 5: Solve for x
    x = 1,639,018.04/1,641.34
  6. Step 6: Final answer
    x = 998.59

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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.