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Finding the Fourth Proportional to 1,952.34, 2,927.97 and 856.43

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Solution

The fourth proportional to 1,952.34, 2,927.97 and 856.43 is: 1,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.34 : 2,927.97 = 856.43 : x
  2. Step 2: Convert to fraction form
    1,952.34/2,927.97 = 856.43/x
  3. Step 3: Cross multiply
    1,952.34x = 2,927.97 × 856.43
  4. Step 4: Simplify right side
    1,952.34x = 2,507,586.71
  5. Step 5: Solve for x
    x = 2,507,586.71/1,952.34
  6. Step 6: Final answer
    x = 1,284.40

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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.