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Finding the Fourth Proportional to 1,484.00, 2,057.29 and 1,405.00

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Solution

The fourth proportional to 1,484.00, 2,057.29 and 1,405.00 is: 1,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.00 : 2,057.29 = 1,405.00 : x
  2. Step 2: Convert to fraction form
    1,484.00/2,057.29 = 1,405.00/x
  3. Step 3: Cross multiply
    1,484.00x = 2,057.29 × 1,405.00
  4. Step 4: Simplify right side
    1,484.00x = 2,890,497.59
  5. Step 5: Solve for x
    x = 2,890,497.59/1,484.00
  6. Step 6: Final answer
    x = 1,947.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.