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Finding the Fourth Proportional to 2,406.60, 3,590.10 and 2,223

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Solution

The fourth proportional to 2,406.60, 3,590.10 and 2,223 is: 3,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.60 : 3,590.10 = 2,223 : x
  2. Step 2: Convert to fraction form
    2,406.60/3,590.10 = 2,223/x
  3. Step 3: Cross multiply
    2,406.60x = 3,590.10 × 2,223
  4. Step 4: Simplify right side
    2,406.60x = 7,980,792.30
  5. Step 5: Solve for x
    x = 7,980,792.30/2,406.60
  6. Step 6: Final answer
    x = 3,316.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.