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Finding the Fourth Proportional to 1,935.12, 2,901.93 and 895.66

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Solution

The fourth proportional to 1,935.12, 2,901.93 and 895.66 is: 1,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.12 : 2,901.93 = 895.66 : x
  2. Step 2: Convert to fraction form
    1,935.12/2,901.93 = 895.66/x
  3. Step 3: Cross multiply
    1,935.12x = 2,901.93 × 895.66
  4. Step 4: Simplify right side
    1,935.12x = 2,599,142.62
  5. Step 5: Solve for x
    x = 2,599,142.62/1,935.12
  6. Step 6: Final answer
    x = 1,343.14

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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.