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Finding the Fourth Proportional to 2,300.16, 3,464.85 and 2,241.84

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Solution

The fourth proportional to 2,300.16, 3,464.85 and 2,241.84 is: 3,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.16 : 3,464.85 = 2,241.84 : x
  2. Step 2: Convert to fraction form
    2,300.16/3,464.85 = 2,241.84/x
  3. Step 3: Cross multiply
    2,300.16x = 3,464.85 × 2,241.84
  4. Step 4: Simplify right side
    2,300.16x = 7,767,639.32
  5. Step 5: Solve for x
    x = 7,767,639.32/2,300.16
  6. Step 6: Final answer
    x = 3,377.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.