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Finding the Fourth Proportional to 2,509.77, 3,460.28 and 1,722.45

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Solution

The fourth proportional to 2,509.77, 3,460.28 and 1,722.45 is: 2,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.77 : 3,460.28 = 1,722.45 : x
  2. Step 2: Convert to fraction form
    2,509.77/3,460.28 = 1,722.45/x
  3. Step 3: Cross multiply
    2,509.77x = 3,460.28 × 1,722.45
  4. Step 4: Simplify right side
    2,509.77x = 5,960,150.67
  5. Step 5: Solve for x
    x = 5,960,150.67/2,509.77
  6. Step 6: Final answer
    x = 2,374.78

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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.