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Finding the Fourth Proportional to 2,390.40, 3,580.70 and 1,414.13

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Solution

The fourth proportional to 2,390.40, 3,580.70 and 1,414.13 is: 2,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.40 : 3,580.70 = 1,414.13 : x
  2. Step 2: Convert to fraction form
    2,390.40/3,580.70 = 1,414.13/x
  3. Step 3: Cross multiply
    2,390.40x = 3,580.70 × 1,414.13
  4. Step 4: Simplify right side
    2,390.40x = 5,063,550.32
  5. Step 5: Solve for x
    x = 5,063,550.32/2,390.40
  6. Step 6: Final answer
    x = 2,118.29

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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.