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Finding the Fourth Proportional to 2,653.07, 3,661.25 and 1,658.93

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Solution

The fourth proportional to 2,653.07, 3,661.25 and 1,658.93 is: 2,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.07 : 3,661.25 = 1,658.93 : x
  2. Step 2: Convert to fraction form
    2,653.07/3,661.25 = 1,658.93/x
  3. Step 3: Cross multiply
    2,653.07x = 3,661.25 × 1,658.93
  4. Step 4: Simplify right side
    2,653.07x = 6,073,730.86
  5. Step 5: Solve for x
    x = 6,073,730.86/2,653.07
  6. Step 6: Final answer
    x = 2,289.33

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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.