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Finding the Fourth Proportional to 2,904.05, 4,354.99 and 1,054.71

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Solution

The fourth proportional to 2,904.05, 4,354.99 and 1,054.71 is: 1,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.05 : 4,354.99 = 1,054.71 : x
  2. Step 2: Convert to fraction form
    2,904.05/4,354.99 = 1,054.71/x
  3. Step 3: Cross multiply
    2,904.05x = 4,354.99 × 1,054.71
  4. Step 4: Simplify right side
    2,904.05x = 4,593,248.87
  5. Step 5: Solve for x
    x = 4,593,248.87/2,904.05
  6. Step 6: Final answer
    x = 1,581.67

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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.