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Finding the Fourth Proportional to 1,455.94, 2,009.24 and 1,031.33

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Solution

The fourth proportional to 1,455.94, 2,009.24 and 1,031.33 is: 1,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.94 : 2,009.24 = 1,031.33 : x
  2. Step 2: Convert to fraction form
    1,455.94/2,009.24 = 1,031.33/x
  3. Step 3: Cross multiply
    1,455.94x = 2,009.24 × 1,031.33
  4. Step 4: Simplify right side
    1,455.94x = 2,072,174.29
  5. Step 5: Solve for x
    x = 2,072,174.29/1,455.94
  6. Step 6: Final answer
    x = 1,423.26

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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.