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Finding the Fourth Proportional to 2,014.71, 2,780.09 and 1,130.31

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Solution

The fourth proportional to 2,014.71, 2,780.09 and 1,130.31 is: 1,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.71 : 2,780.09 = 1,130.31 : x
  2. Step 2: Convert to fraction form
    2,014.71/2,780.09 = 1,130.31/x
  3. Step 3: Cross multiply
    2,014.71x = 2,780.09 × 1,130.31
  4. Step 4: Simplify right side
    2,014.71x = 3,142,357.88
  5. Step 5: Solve for x
    x = 3,142,357.88/2,014.71
  6. Step 6: Final answer
    x = 1,559.71

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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.