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Finding the Fourth Proportional to 1,661.90, 2,489.58 and 929.24

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Solution

The fourth proportional to 1,661.90, 2,489.58 and 929.24 is: 1,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.90 : 2,489.58 = 929.24 : x
  2. Step 2: Convert to fraction form
    1,661.90/2,489.58 = 929.24/x
  3. Step 3: Cross multiply
    1,661.90x = 2,489.58 × 929.24
  4. Step 4: Simplify right side
    1,661.90x = 2,313,417.32
  5. Step 5: Solve for x
    x = 2,313,417.32/1,661.90
  6. Step 6: Final answer
    x = 1,392.03

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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.