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Finding the Fourth Proportional to 2,865.98, 3,955.25 and 1,590.27

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Solution

The fourth proportional to 2,865.98, 3,955.25 and 1,590.27 is: 2,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.98 : 3,955.25 = 1,590.27 : x
  2. Step 2: Convert to fraction form
    2,865.98/3,955.25 = 1,590.27/x
  3. Step 3: Cross multiply
    2,865.98x = 3,955.25 × 1,590.27
  4. Step 4: Simplify right side
    2,865.98x = 6,289,925.31
  5. Step 5: Solve for x
    x = 6,289,925.31/2,865.98
  6. Step 6: Final answer
    x = 2,194.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.