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Finding the Fourth Proportional to 2,035.95, 3,054.53 and 649.47

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Solution

The fourth proportional to 2,035.95, 3,054.53 and 649.47 is: 974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.95 : 3,054.53 = 649.47 : x
  2. Step 2: Convert to fraction form
    2,035.95/3,054.53 = 649.47/x
  3. Step 3: Cross multiply
    2,035.95x = 3,054.53 × 649.47
  4. Step 4: Simplify right side
    2,035.95x = 1,983,825.60
  5. Step 5: Solve for x
    x = 1,983,825.60/2,035.95
  6. Step 6: Final answer
    x = 974.40

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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.