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Finding the Fourth Proportional to 3,005.47, 4,509.90 and 1,618.77

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Solution

The fourth proportional to 3,005.47, 4,509.90 and 1,618.77 is: 2,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.47 : 4,509.90 = 1,618.77 : x
  2. Step 2: Convert to fraction form
    3,005.47/4,509.90 = 1,618.77/x
  3. Step 3: Cross multiply
    3,005.47x = 4,509.90 × 1,618.77
  4. Step 4: Simplify right side
    3,005.47x = 7,300,490.82
  5. Step 5: Solve for x
    x = 7,300,490.82/3,005.47
  6. Step 6: Final answer
    x = 2,429.07

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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.