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Finding the Fourth Proportional to 3,009.53, 4,153.79 and 1,830.98

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Solution

The fourth proportional to 3,009.53, 4,153.79 and 1,830.98 is: 2,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.53 : 4,153.79 = 1,830.98 : x
  2. Step 2: Convert to fraction form
    3,009.53/4,153.79 = 1,830.98/x
  3. Step 3: Cross multiply
    3,009.53x = 4,153.79 × 1,830.98
  4. Step 4: Simplify right side
    3,009.53x = 7,605,490.22
  5. Step 5: Solve for x
    x = 7,605,490.22/3,009.53
  6. Step 6: Final answer
    x = 2,527.14

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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.