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Finding the Fourth Proportional to 2,699.24, 4,039.41 and 1,658.93

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Solution

The fourth proportional to 2,699.24, 4,039.41 and 1,658.93 is: 2,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.24 : 4,039.41 = 1,658.93 : x
  2. Step 2: Convert to fraction form
    2,699.24/4,039.41 = 1,658.93/x
  3. Step 3: Cross multiply
    2,699.24x = 4,039.41 × 1,658.93
  4. Step 4: Simplify right side
    2,699.24x = 6,701,098.43
  5. Step 5: Solve for x
    x = 6,701,098.43/2,699.24
  6. Step 6: Final answer
    x = 2,482.59

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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.