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Finding the Fourth Proportional to 2,509.61, 3,463.94 and 2,089.28

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Solution

The fourth proportional to 2,509.61, 3,463.94 and 2,089.28 is: 2,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.61 : 3,463.94 = 2,089.28 : x
  2. Step 2: Convert to fraction form
    2,509.61/3,463.94 = 2,089.28/x
  3. Step 3: Cross multiply
    2,509.61x = 3,463.94 × 2,089.28
  4. Step 4: Simplify right side
    2,509.61x = 7,237,154.45
  5. Step 5: Solve for x
    x = 7,237,154.45/2,509.61
  6. Step 6: Final answer
    x = 2,883.78

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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.