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Finding the Fourth Proportional to 1,678.64, 2,515.77 and 856.22

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Solution

The fourth proportional to 1,678.64, 2,515.77 and 856.22 is: 1,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.64 : 2,515.77 = 856.22 : x
  2. Step 2: Convert to fraction form
    1,678.64/2,515.77 = 856.22/x
  3. Step 3: Cross multiply
    1,678.64x = 2,515.77 × 856.22
  4. Step 4: Simplify right side
    1,678.64x = 2,154,052.59
  5. Step 5: Solve for x
    x = 2,154,052.59/1,678.64
  6. Step 6: Final answer
    x = 1,283.21

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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.