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Finding the Fourth Proportional to 1,762.86, 2,429.94 and 1,389.24

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Solution

The fourth proportional to 1,762.86, 2,429.94 and 1,389.24 is: 1,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.86 : 2,429.94 = 1,389.24 : x
  2. Step 2: Convert to fraction form
    1,762.86/2,429.94 = 1,389.24/x
  3. Step 3: Cross multiply
    1,762.86x = 2,429.94 × 1,389.24
  4. Step 4: Simplify right side
    1,762.86x = 3,375,769.85
  5. Step 5: Solve for x
    x = 3,375,769.85/1,762.86
  6. Step 6: Final answer
    x = 1,914.94

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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.