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Finding the Fourth Proportional to 4,658.85, 6,988.07 and 1,148.69

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Solution

The fourth proportional to 4,658.85, 6,988.07 and 1,148.69 is: 1,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.85 : 6,988.07 = 1,148.69 : x
  2. Step 2: Convert to fraction form
    4,658.85/6,988.07 = 1,148.69/x
  3. Step 3: Cross multiply
    4,658.85x = 6,988.07 × 1,148.69
  4. Step 4: Simplify right side
    4,658.85x = 8,027,085.44
  5. Step 5: Solve for x
    x = 8,027,085.44/4,658.85
  6. Step 6: Final answer
    x = 1,722.98

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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.