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Finding the Fourth Proportional to 1,584.48, 2,376.96 and 853.08

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Solution

The fourth proportional to 1,584.48, 2,376.96 and 853.08 is: 1,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.48 : 2,376.96 = 853.08 : x
  2. Step 2: Convert to fraction form
    1,584.48/2,376.96 = 853.08/x
  3. Step 3: Cross multiply
    1,584.48x = 2,376.96 × 853.08
  4. Step 4: Simplify right side
    1,584.48x = 2,027,737.04
  5. Step 5: Solve for x
    x = 2,027,737.04/1,584.48
  6. Step 6: Final answer
    x = 1,279.75

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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.