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Finding the Fourth Proportional to 1,409.57, 2,113.80 and 422.10

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Solution

The fourth proportional to 1,409.57, 2,113.80 and 422.10 is: 632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.57 : 2,113.80 = 422.10 : x
  2. Step 2: Convert to fraction form
    1,409.57/2,113.80 = 422.10/x
  3. Step 3: Cross multiply
    1,409.57x = 2,113.80 × 422.10
  4. Step 4: Simplify right side
    1,409.57x = 892,234.98
  5. Step 5: Solve for x
    x = 892,234.98/1,409.57
  6. Step 6: Final answer
    x = 632.98

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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.