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Finding the Fourth Proportional to 1,584.34, 2,185.85 and 920.64

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Solution

The fourth proportional to 1,584.34, 2,185.85 and 920.64 is: 1,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.34 : 2,185.85 = 920.64 : x
  2. Step 2: Convert to fraction form
    1,584.34/2,185.85 = 920.64/x
  3. Step 3: Cross multiply
    1,584.34x = 2,185.85 × 920.64
  4. Step 4: Simplify right side
    1,584.34x = 2,012,376.34
  5. Step 5: Solve for x
    x = 2,012,376.34/1,584.34
  6. Step 6: Final answer
    x = 1,270.17

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1.5x scale

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.