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Finding the Fourth Proportional to 2,490.70, 3,435.67 and 1,594.63

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Solution

The fourth proportional to 2,490.70, 3,435.67 and 1,594.63 is: 2,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.70 : 3,435.67 = 1,594.63 : x
  2. Step 2: Convert to fraction form
    2,490.70/3,435.67 = 1,594.63/x
  3. Step 3: Cross multiply
    2,490.70x = 3,435.67 × 1,594.63
  4. Step 4: Simplify right side
    2,490.70x = 5,478,622.45
  5. Step 5: Solve for x
    x = 5,478,622.45/2,490.70
  6. Step 6: Final answer
    x = 2,199.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.