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Finding the Fourth Proportional to 1,658.48, 2,276.48 and 1,467.81

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Solution

The fourth proportional to 1,658.48, 2,276.48 and 1,467.81 is: 2,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.48 : 2,276.48 = 1,467.81 : x
  2. Step 2: Convert to fraction form
    1,658.48/2,276.48 = 1,467.81/x
  3. Step 3: Cross multiply
    1,658.48x = 2,276.48 × 1,467.81
  4. Step 4: Simplify right side
    1,658.48x = 3,341,443.78
  5. Step 5: Solve for x
    x = 3,341,443.78/1,658.48
  6. Step 6: Final answer
    x = 2,014.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.