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Finding the Fourth Proportional to 2,658.93, 3,669.53 and 1,480.02

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Solution

The fourth proportional to 2,658.93, 3,669.53 and 1,480.02 is: 2,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.93 : 3,669.53 = 1,480.02 : x
  2. Step 2: Convert to fraction form
    2,658.93/3,669.53 = 1,480.02/x
  3. Step 3: Cross multiply
    2,658.93x = 3,669.53 × 1,480.02
  4. Step 4: Simplify right side
    2,658.93x = 5,430,970.39
  5. Step 5: Solve for x
    x = 5,430,970.39/2,658.93
  6. Step 6: Final answer
    x = 2,042.54

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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.