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Finding the Fourth Proportional to 2,921.00, 4,381.38 and 841.02

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Solution

The fourth proportional to 2,921.00, 4,381.38 and 841.02 is: 1,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.00 : 4,381.38 = 841.02 : x
  2. Step 2: Convert to fraction form
    2,921.00/4,381.38 = 841.02/x
  3. Step 3: Cross multiply
    2,921.00x = 4,381.38 × 841.02
  4. Step 4: Simplify right side
    2,921.00x = 3,684,828.21
  5. Step 5: Solve for x
    x = 3,684,828.21/2,921.00
  6. Step 6: Final answer
    x = 1,261.50

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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.