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Finding the Fourth Proportional to 1,405.86, 2,107.44 and 1,285.59

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Solution

The fourth proportional to 1,405.86, 2,107.44 and 1,285.59 is: 1,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.86 : 2,107.44 = 1,285.59 : x
  2. Step 2: Convert to fraction form
    1,405.86/2,107.44 = 1,285.59/x
  3. Step 3: Cross multiply
    1,405.86x = 2,107.44 × 1,285.59
  4. Step 4: Simplify right side
    1,405.86x = 2,709,303.79
  5. Step 5: Solve for x
    x = 2,709,303.79/1,405.86
  6. Step 6: Final answer
    x = 1,927.15

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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.