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Finding the Fourth Proportional to 4,041.24, 6,064.02 and 1,446

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Solution

The fourth proportional to 4,041.24, 6,064.02 and 1,446 is: 2,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041.24 : 6,064.02 = 1,446 : x
  2. Step 2: Convert to fraction form
    4,041.24/6,064.02 = 1,446/x
  3. Step 3: Cross multiply
    4,041.24x = 6,064.02 × 1,446
  4. Step 4: Simplify right side
    4,041.24x = 8,768,572.92
  5. Step 5: Solve for x
    x = 8,768,572.92/4,041.24
  6. Step 6: Final answer
    x = 2,169.77

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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.