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Finding the Fourth Proportional to 2,258.91, 3,390.59 and 1,674.70

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Solution

The fourth proportional to 2,258.91, 3,390.59 and 1,674.70 is: 2,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.91 : 3,390.59 = 1,674.70 : x
  2. Step 2: Convert to fraction form
    2,258.91/3,390.59 = 1,674.70/x
  3. Step 3: Cross multiply
    2,258.91x = 3,390.59 × 1,674.70
  4. Step 4: Simplify right side
    2,258.91x = 5,678,216.78
  5. Step 5: Solve for x
    x = 5,678,216.78/2,258.91
  6. Step 6: Final answer
    x = 2,513.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.