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Finding the Fourth Proportional to 1,960.54, 2,925.92 and 1,881.16

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Solution

The fourth proportional to 1,960.54, 2,925.92 and 1,881.16 is: 2,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.54 : 2,925.92 = 1,881.16 : x
  2. Step 2: Convert to fraction form
    1,960.54/2,925.92 = 1,881.16/x
  3. Step 3: Cross multiply
    1,960.54x = 2,925.92 × 1,881.16
  4. Step 4: Simplify right side
    1,960.54x = 5,504,123.67
  5. Step 5: Solve for x
    x = 5,504,123.67/1,960.54
  6. Step 6: Final answer
    x = 2,807.45

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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.