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Finding the Fourth Proportional to 2,036.35, 3,054.50 and 649.67

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Solution

The fourth proportional to 2,036.35, 3,054.50 and 649.67 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.35 : 3,054.50 = 649.67 : x
  2. Step 2: Convert to fraction form
    2,036.35/3,054.50 = 649.67/x
  3. Step 3: Cross multiply
    2,036.35x = 3,054.50 × 649.67
  4. Step 4: Simplify right side
    2,036.35x = 1,984,417.02
  5. Step 5: Solve for x
    x = 1,984,417.02/2,036.35
  6. Step 6: Final answer
    x = 974.50

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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.