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Finding the Fourth Proportional to 2,774.45, 4,160.14 and 924.56

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Solution

The fourth proportional to 2,774.45, 4,160.14 and 924.56 is: 1,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.45 : 4,160.14 = 924.56 : x
  2. Step 2: Convert to fraction form
    2,774.45/4,160.14 = 924.56/x
  3. Step 3: Cross multiply
    2,774.45x = 4,160.14 × 924.56
  4. Step 4: Simplify right side
    2,774.45x = 3,846,273.61
  5. Step 5: Solve for x
    x = 3,846,273.61/2,774.45
  6. Step 6: Final answer
    x = 1,386.32

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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.