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Finding the Fourth Proportional to 2,643.34, 3,964.02 and 999.01

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Solution

The fourth proportional to 2,643.34, 3,964.02 and 999.01 is: 1,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.34 : 3,964.02 = 999.01 : x
  2. Step 2: Convert to fraction form
    2,643.34/3,964.02 = 999.01/x
  3. Step 3: Cross multiply
    2,643.34x = 3,964.02 × 999.01
  4. Step 4: Simplify right side
    2,643.34x = 3,960,095.62
  5. Step 5: Solve for x
    x = 3,960,095.62/2,643.34
  6. Step 6: Final answer
    x = 1,498.14

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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.