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Finding the Fourth Proportional to 2,649.90, 3,970.35 and 1,606.72

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Solution

The fourth proportional to 2,649.90, 3,970.35 and 1,606.72 is: 2,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.90 : 3,970.35 = 1,606.72 : x
  2. Step 2: Convert to fraction form
    2,649.90/3,970.35 = 1,606.72/x
  3. Step 3: Cross multiply
    2,649.90x = 3,970.35 × 1,606.72
  4. Step 4: Simplify right side
    2,649.90x = 6,379,240.75
  5. Step 5: Solve for x
    x = 6,379,240.75/2,649.90
  6. Step 6: Final answer
    x = 2,407.35

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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.