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Finding the Fourth Proportional to 1,473.51, 2,033.99 and 976.31

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Solution

The fourth proportional to 1,473.51, 2,033.99 and 976.31 is: 1,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.51 : 2,033.99 = 976.31 : x
  2. Step 2: Convert to fraction form
    1,473.51/2,033.99 = 976.31/x
  3. Step 3: Cross multiply
    1,473.51x = 2,033.99 × 976.31
  4. Step 4: Simplify right side
    1,473.51x = 1,985,799.90
  5. Step 5: Solve for x
    x = 1,985,799.90/1,473.51
  6. Step 6: Final answer
    x = 1,347.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.