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Finding the Fourth Proportional to 1,935.87, 2,904.14 and 895.45

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Solution

The fourth proportional to 1,935.87, 2,904.14 and 895.45 is: 1,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.87 : 2,904.14 = 895.45 : x
  2. Step 2: Convert to fraction form
    1,935.87/2,904.14 = 895.45/x
  3. Step 3: Cross multiply
    1,935.87x = 2,904.14 × 895.45
  4. Step 4: Simplify right side
    1,935.87x = 2,600,507.69
  5. Step 5: Solve for x
    x = 2,600,507.69/1,935.87
  6. Step 6: Final answer
    x = 1,343.33

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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.