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Finding the Fourth Proportional to 2,984.11, 4,476.01 and 904.03

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Solution

The fourth proportional to 2,984.11, 4,476.01 and 904.03 is: 1,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.11 : 4,476.01 = 904.03 : x
  2. Step 2: Convert to fraction form
    2,984.11/4,476.01 = 904.03/x
  3. Step 3: Cross multiply
    2,984.11x = 4,476.01 × 904.03
  4. Step 4: Simplify right side
    2,984.11x = 4,046,447.32
  5. Step 5: Solve for x
    x = 4,046,447.32/2,984.11
  6. Step 6: Final answer
    x = 1,356.00

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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.