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Finding the Fourth Proportional to 2,353.64, 3,513.54 and 2,182.76

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Solution

The fourth proportional to 2,353.64, 3,513.54 and 2,182.76 is: 3,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.64 : 3,513.54 = 2,182.76 : x
  2. Step 2: Convert to fraction form
    2,353.64/3,513.54 = 2,182.76/x
  3. Step 3: Cross multiply
    2,353.64x = 3,513.54 × 2,182.76
  4. Step 4: Simplify right side
    2,353.64x = 7,669,214.57
  5. Step 5: Solve for x
    x = 7,669,214.57/2,353.64
  6. Step 6: Final answer
    x = 3,258.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.