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Finding the Fourth Proportional to 2,509.85, 3,463.53 and 1,390.77

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Solution

The fourth proportional to 2,509.85, 3,463.53 and 1,390.77 is: 1,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.85 : 3,463.53 = 1,390.77 : x
  2. Step 2: Convert to fraction form
    2,509.85/3,463.53 = 1,390.77/x
  3. Step 3: Cross multiply
    2,509.85x = 3,463.53 × 1,390.77
  4. Step 4: Simplify right side
    2,509.85x = 4,816,973.62
  5. Step 5: Solve for x
    x = 4,816,973.62/2,509.85
  6. Step 6: Final answer
    x = 1,919.23

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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.