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Finding the Fourth Proportional to 1,956.87, 2,701.89 and 1,585.53

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Solution

The fourth proportional to 1,956.87, 2,701.89 and 1,585.53 is: 2,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.87 : 2,701.89 = 1,585.53 : x
  2. Step 2: Convert to fraction form
    1,956.87/2,701.89 = 1,585.53/x
  3. Step 3: Cross multiply
    1,956.87x = 2,701.89 × 1,585.53
  4. Step 4: Simplify right side
    1,956.87x = 4,283,927.65
  5. Step 5: Solve for x
    x = 4,283,927.65/1,956.87
  6. Step 6: Final answer
    x = 2,189.17

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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.