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Finding the Fourth Proportional to 1,584.63, 2,374.38 and 966.47

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Solution

The fourth proportional to 1,584.63, 2,374.38 and 966.47 is: 1,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.63 : 2,374.38 = 966.47 : x
  2. Step 2: Convert to fraction form
    1,584.63/2,374.38 = 966.47/x
  3. Step 3: Cross multiply
    1,584.63x = 2,374.38 × 966.47
  4. Step 4: Simplify right side
    1,584.63x = 2,294,755.17
  5. Step 5: Solve for x
    x = 2,294,755.17/1,584.63
  6. Step 6: Final answer
    x = 1,448.13

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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.