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Finding the Fourth Proportional to 2,036.30, 3,052.95 and 648.83

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Solution

The fourth proportional to 2,036.30, 3,052.95 and 648.83 is: 972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.30 : 3,052.95 = 648.83 : x
  2. Step 2: Convert to fraction form
    2,036.30/3,052.95 = 648.83/x
  3. Step 3: Cross multiply
    2,036.30x = 3,052.95 × 648.83
  4. Step 4: Simplify right side
    2,036.30x = 1,980,851.56
  5. Step 5: Solve for x
    x = 1,980,851.56/2,036.30
  6. Step 6: Final answer
    x = 972.77

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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.