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Finding the Fourth Proportional to 2,973.49, 4,460.75 and 999.31

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Solution

The fourth proportional to 2,973.49, 4,460.75 and 999.31 is: 1,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.49 : 4,460.75 = 999.31 : x
  2. Step 2: Convert to fraction form
    2,973.49/4,460.75 = 999.31/x
  3. Step 3: Cross multiply
    2,973.49x = 4,460.75 × 999.31
  4. Step 4: Simplify right side
    2,973.49x = 4,457,665.26
  5. Step 5: Solve for x
    x = 4,457,665.26/2,973.49
  6. Step 6: Final answer
    x = 1,499.14

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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.