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Finding the Fourth Proportional to 1,640.02, 2,460.03 and 666.14

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Solution

The fourth proportional to 1,640.02, 2,460.03 and 666.14 is: 999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.02 : 2,460.03 = 666.14 : x
  2. Step 2: Convert to fraction form
    1,640.02/2,460.03 = 666.14/x
  3. Step 3: Cross multiply
    1,640.02x = 2,460.03 × 666.14
  4. Step 4: Simplify right side
    1,640.02x = 1,638,724.38
  5. Step 5: Solve for x
    x = 1,638,724.38/1,640.02
  6. Step 6: Final answer
    x = 999.21

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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.