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Finding the Fourth Proportional to 2,376, 3,277.44 and 1,535.36

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Solution

The fourth proportional to 2,376, 3,277.44 and 1,535.36 is: 2,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 3,277.44 = 1,535.36 : x
  2. Step 2: Convert to fraction form
    2,376/3,277.44 = 1,535.36/x
  3. Step 3: Cross multiply
    2,376x = 3,277.44 × 1,535.36
  4. Step 4: Simplify right side
    2,376x = 5,032,050.28
  5. Step 5: Solve for x
    x = 5,032,050.28/2,376
  6. Step 6: Final answer
    x = 2,117.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.