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Finding the Fourth Proportional to 1,512.59, 2,087.10 and 923.31

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Solution

The fourth proportional to 1,512.59, 2,087.10 and 923.31 is: 1,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.59 : 2,087.10 = 923.31 : x
  2. Step 2: Convert to fraction form
    1,512.59/2,087.10 = 923.31/x
  3. Step 3: Cross multiply
    1,512.59x = 2,087.10 × 923.31
  4. Step 4: Simplify right side
    1,512.59x = 1,927,040.30
  5. Step 5: Solve for x
    x = 1,927,040.30/1,512.59
  6. Step 6: Final answer
    x = 1,274.00

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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.