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Finding the Fourth Proportional to 1,648.70, 2,472.95 and 416.10

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Solution

The fourth proportional to 1,648.70, 2,472.95 and 416.10 is: 624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.70 : 2,472.95 = 416.10 : x
  2. Step 2: Convert to fraction form
    1,648.70/2,472.95 = 416.10/x
  3. Step 3: Cross multiply
    1,648.70x = 2,472.95 × 416.10
  4. Step 4: Simplify right side
    1,648.70x = 1,029,002.47
  5. Step 5: Solve for x
    x = 1,029,002.47/1,648.70
  6. Step 6: Final answer
    x = 624.13

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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.