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Finding the Fourth Proportional to 2,774.07, 4,159.49 and 1,041.75

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Solution

The fourth proportional to 2,774.07, 4,159.49 and 1,041.75 is: 1,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.07 : 4,159.49 = 1,041.75 : x
  2. Step 2: Convert to fraction form
    2,774.07/4,159.49 = 1,041.75/x
  3. Step 3: Cross multiply
    2,774.07x = 4,159.49 × 1,041.75
  4. Step 4: Simplify right side
    2,774.07x = 4,333,143.50
  5. Step 5: Solve for x
    x = 4,333,143.50/2,774.07
  6. Step 6: Final answer
    x = 1,562.02

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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.