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Finding the Fourth Proportional to 3,005.37, 4,507.41 and 1,030.80

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Solution

The fourth proportional to 3,005.37, 4,507.41 and 1,030.80 is: 1,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.37 : 4,507.41 = 1,030.80 : x
  2. Step 2: Convert to fraction form
    3,005.37/4,507.41 = 1,030.80/x
  3. Step 3: Cross multiply
    3,005.37x = 4,507.41 × 1,030.80
  4. Step 4: Simplify right side
    3,005.37x = 4,646,238.23
  5. Step 5: Solve for x
    x = 4,646,238.23/3,005.37
  6. Step 6: Final answer
    x = 1,545.98

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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.