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Finding the Fourth Proportional to 2,773.26, 4,160.07 and 924.30

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Solution

The fourth proportional to 2,773.26, 4,160.07 and 924.30 is: 1,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.26 : 4,160.07 = 924.30 : x
  2. Step 2: Convert to fraction form
    2,773.26/4,160.07 = 924.30/x
  3. Step 3: Cross multiply
    2,773.26x = 4,160.07 × 924.30
  4. Step 4: Simplify right side
    2,773.26x = 3,845,152.70
  5. Step 5: Solve for x
    x = 3,845,152.70/2,773.26
  6. Step 6: Final answer
    x = 1,386.51

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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.