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Finding the Fourth Proportional to 3,054.00, 4,580.89 and 974.12

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Solution

The fourth proportional to 3,054.00, 4,580.89 and 974.12 is: 1,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.00 : 4,580.89 = 974.12 : x
  2. Step 2: Convert to fraction form
    3,054.00/4,580.89 = 974.12/x
  3. Step 3: Cross multiply
    3,054.00x = 4,580.89 × 974.12
  4. Step 4: Simplify right side
    3,054.00x = 4,462,313.66
  5. Step 5: Solve for x
    x = 4,462,313.66/3,054.00
  6. Step 6: Final answer
    x = 1,461.14

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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.