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Finding the Fourth Proportional to 3,000.30, 4,502.73 and 1,054.14

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Solution

The fourth proportional to 3,000.30, 4,502.73 and 1,054.14 is: 1,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.30 : 4,502.73 = 1,054.14 : x
  2. Step 2: Convert to fraction form
    3,000.30/4,502.73 = 1,054.14/x
  3. Step 3: Cross multiply
    3,000.30x = 4,502.73 × 1,054.14
  4. Step 4: Simplify right side
    3,000.30x = 4,746,507.80
  5. Step 5: Solve for x
    x = 4,746,507.80/3,000.30
  6. Step 6: Final answer
    x = 1,582.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.