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Finding the Fourth Proportional to 2,650.65, 3,658.01 and 1,588.59

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Solution

The fourth proportional to 2,650.65, 3,658.01 and 1,588.59 is: 2,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.65 : 3,658.01 = 1,588.59 : x
  2. Step 2: Convert to fraction form
    2,650.65/3,658.01 = 1,588.59/x
  3. Step 3: Cross multiply
    2,650.65x = 3,658.01 × 1,588.59
  4. Step 4: Simplify right side
    2,650.65x = 5,811,070.16
  5. Step 5: Solve for x
    x = 5,811,070.16/2,650.65
  6. Step 6: Final answer
    x = 2,192.32

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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.