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Finding the Fourth Proportional to 3,045.40, 4,569.84 and 1,658.68

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Solution

The fourth proportional to 3,045.40, 4,569.84 and 1,658.68 is: 2,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.40 : 4,569.84 = 1,658.68 : x
  2. Step 2: Convert to fraction form
    3,045.40/4,569.84 = 1,658.68/x
  3. Step 3: Cross multiply
    3,045.40x = 4,569.84 × 1,658.68
  4. Step 4: Simplify right side
    3,045.40x = 7,579,902.21
  5. Step 5: Solve for x
    x = 7,579,902.21/3,045.40
  6. Step 6: Final answer
    x = 2,488.97

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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.