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Finding the Fourth Proportional to 2,601.93, 3,590.75 and 1,423.00

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Solution

The fourth proportional to 2,601.93, 3,590.75 and 1,423.00 is: 1,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.93 : 3,590.75 = 1,423.00 : x
  2. Step 2: Convert to fraction form
    2,601.93/3,590.75 = 1,423.00/x
  3. Step 3: Cross multiply
    2,601.93x = 3,590.75 × 1,423.00
  4. Step 4: Simplify right side
    2,601.93x = 5,109,621.41
  5. Step 5: Solve for x
    x = 5,109,621.41/2,601.93
  6. Step 6: Final answer
    x = 1,963.78

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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.