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Finding the Fourth Proportional to 4,580.70, 6,871.95 and 1,658.94

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Solution

The fourth proportional to 4,580.70, 6,871.95 and 1,658.94 is: 2,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.70 : 6,871.95 = 1,658.94 : x
  2. Step 2: Convert to fraction form
    4,580.70/6,871.95 = 1,658.94/x
  3. Step 3: Cross multiply
    4,580.70x = 6,871.95 × 1,658.94
  4. Step 4: Simplify right side
    4,580.70x = 11,400,152.73
  5. Step 5: Solve for x
    x = 11,400,152.73/4,580.70
  6. Step 6: Final answer
    x = 2,488.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.