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Finding the Fourth Proportional to 2,014.86, 2,780.47 and 1,130.69

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Solution

The fourth proportional to 2,014.86, 2,780.47 and 1,130.69 is: 1,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.86 : 2,780.47 = 1,130.69 : x
  2. Step 2: Convert to fraction form
    2,014.86/2,780.47 = 1,130.69/x
  3. Step 3: Cross multiply
    2,014.86x = 2,780.47 × 1,130.69
  4. Step 4: Simplify right side
    2,014.86x = 3,143,849.62
  5. Step 5: Solve for x
    x = 3,143,849.62/2,014.86
  6. Step 6: Final answer
    x = 1,560.33

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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.