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Finding the Fourth Proportional to 2,089.31, 3,133.97 and 840.48

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Solution

The fourth proportional to 2,089.31, 3,133.97 and 840.48 is: 1,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.31 : 3,133.97 = 840.48 : x
  2. Step 2: Convert to fraction form
    2,089.31/3,133.97 = 840.48/x
  3. Step 3: Cross multiply
    2,089.31x = 3,133.97 × 840.48
  4. Step 4: Simplify right side
    2,089.31x = 2,634,039.11
  5. Step 5: Solve for x
    x = 2,634,039.11/2,089.31
  6. Step 6: Final answer
    x = 1,260.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.