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Finding the Fourth Proportional to 2,947.53, 4,421.01 and 999.51

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Solution

The fourth proportional to 2,947.53, 4,421.01 and 999.51 is: 1,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.53 : 4,421.01 = 999.51 : x
  2. Step 2: Convert to fraction form
    2,947.53/4,421.01 = 999.51/x
  3. Step 3: Cross multiply
    2,947.53x = 4,421.01 × 999.51
  4. Step 4: Simplify right side
    2,947.53x = 4,418,843.71
  5. Step 5: Solve for x
    x = 4,418,843.71/2,947.53
  6. Step 6: Final answer
    x = 1,499.17

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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.