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Finding the Fourth Proportional to 1,584.52, 2,364.90 and 1,558.58

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Solution

The fourth proportional to 1,584.52, 2,364.90 and 1,558.58 is: 2,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.52 : 2,364.90 = 1,558.58 : x
  2. Step 2: Convert to fraction form
    1,584.52/2,364.90 = 1,558.58/x
  3. Step 3: Cross multiply
    1,584.52x = 2,364.90 × 1,558.58
  4. Step 4: Simplify right side
    1,584.52x = 3,685,878.05
  5. Step 5: Solve for x
    x = 3,685,878.05/1,584.52
  6. Step 6: Final answer
    x = 2,326.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.