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Finding the Fourth Proportional to 1,573.16, 2,358.06 and 996.36

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Solution

The fourth proportional to 1,573.16, 2,358.06 and 996.36 is: 1,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.16 : 2,358.06 = 996.36 : x
  2. Step 2: Convert to fraction form
    1,573.16/2,358.06 = 996.36/x
  3. Step 3: Cross multiply
    1,573.16x = 2,358.06 × 996.36
  4. Step 4: Simplify right side
    1,573.16x = 2,349,476.66
  5. Step 5: Solve for x
    x = 2,349,476.66/1,573.16
  6. Step 6: Final answer
    x = 1,493.48

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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.