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Finding the Fourth Proportional to 1,438.96, 1,986.06 and 914.89

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Solution

The fourth proportional to 1,438.96, 1,986.06 and 914.89 is: 1,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.96 : 1,986.06 = 914.89 : x
  2. Step 2: Convert to fraction form
    1,438.96/1,986.06 = 914.89/x
  3. Step 3: Cross multiply
    1,438.96x = 1,986.06 × 914.89
  4. Step 4: Simplify right side
    1,438.96x = 1,817,026.43
  5. Step 5: Solve for x
    x = 1,817,026.43/1,438.96
  6. Step 6: Final answer
    x = 1,262.74

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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.