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Finding the Fourth Proportional to 1,954.33, 2,931.80 and 859.01

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Solution

The fourth proportional to 1,954.33, 2,931.80 and 859.01 is: 1,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.33 : 2,931.80 = 859.01 : x
  2. Step 2: Convert to fraction form
    1,954.33/2,931.80 = 859.01/x
  3. Step 3: Cross multiply
    1,954.33x = 2,931.80 × 859.01
  4. Step 4: Simplify right side
    1,954.33x = 2,518,426.56
  5. Step 5: Solve for x
    x = 2,518,426.56/1,954.33
  6. Step 6: Final answer
    x = 1,288.64

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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.