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Finding the Fourth Proportional to 1,956.85, 2,935.29 and 1,412.50

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Solution

The fourth proportional to 1,956.85, 2,935.29 and 1,412.50 is: 2,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.85 : 2,935.29 = 1,412.50 : x
  2. Step 2: Convert to fraction form
    1,956.85/2,935.29 = 1,412.50/x
  3. Step 3: Cross multiply
    1,956.85x = 2,935.29 × 1,412.50
  4. Step 4: Simplify right side
    1,956.85x = 4,146,097.13
  5. Step 5: Solve for x
    x = 4,146,097.13/1,956.85
  6. Step 6: Final answer
    x = 2,118.76

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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.