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Finding the Fourth Proportional to 2,484.96, 3,429.05 and 1,437.09

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Solution

The fourth proportional to 2,484.96, 3,429.05 and 1,437.09 is: 1,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.96 : 3,429.05 = 1,437.09 : x
  2. Step 2: Convert to fraction form
    2,484.96/3,429.05 = 1,437.09/x
  3. Step 3: Cross multiply
    2,484.96x = 3,429.05 × 1,437.09
  4. Step 4: Simplify right side
    2,484.96x = 4,927,846.28
  5. Step 5: Solve for x
    x = 4,927,846.28/2,484.96
  6. Step 6: Final answer
    x = 1,983.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.