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Finding the Fourth Proportional to 2,994.57, 4,133.07 and 1,816.29

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Solution

The fourth proportional to 2,994.57, 4,133.07 and 1,816.29 is: 2,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.57 : 4,133.07 = 1,816.29 : x
  2. Step 2: Convert to fraction form
    2,994.57/4,133.07 = 1,816.29/x
  3. Step 3: Cross multiply
    2,994.57x = 4,133.07 × 1,816.29
  4. Step 4: Simplify right side
    2,994.57x = 7,506,853.71
  5. Step 5: Solve for x
    x = 7,506,853.71/2,994.57
  6. Step 6: Final answer
    x = 2,506.82

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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.