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Finding the Fourth Proportional to 4,287.81, 6,428.01 and 1,657.16

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Solution

The fourth proportional to 4,287.81, 6,428.01 and 1,657.16 is: 2,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.81 : 6,428.01 = 1,657.16 : x
  2. Step 2: Convert to fraction form
    4,287.81/6,428.01 = 1,657.16/x
  3. Step 3: Cross multiply
    4,287.81x = 6,428.01 × 1,657.16
  4. Step 4: Simplify right side
    4,287.81x = 10,652,220.28
  5. Step 5: Solve for x
    x = 10,652,220.28/4,287.81
  6. Step 6: Final answer
    x = 2,484.31

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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.