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Finding the Fourth Proportional to 2,346, 3,520.56 and 2,141.84

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Solution

The fourth proportional to 2,346, 3,520.56 and 2,141.84 is: 3,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346 : 3,520.56 = 2,141.84 : x
  2. Step 2: Convert to fraction form
    2,346/3,520.56 = 2,141.84/x
  3. Step 3: Cross multiply
    2,346x = 3,520.56 × 2,141.84
  4. Step 4: Simplify right side
    2,346x = 7,540,476.23
  5. Step 5: Solve for x
    x = 7,540,476.23/2,346
  6. Step 6: Final answer
    x = 3,214.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.