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Finding the Fourth Proportional to 1,657.01, 2,487.14 and 1,649.31

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Solution

The fourth proportional to 1,657.01, 2,487.14 and 1,649.31 is: 2,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.01 : 2,487.14 = 1,649.31 : x
  2. Step 2: Convert to fraction form
    1,657.01/2,487.14 = 1,649.31/x
  3. Step 3: Cross multiply
    1,657.01x = 2,487.14 × 1,649.31
  4. Step 4: Simplify right side
    1,657.01x = 4,102,056.63
  5. Step 5: Solve for x
    x = 4,102,056.63/1,657.01
  6. Step 6: Final answer
    x = 2,475.58

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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.