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Finding the Fourth Proportional to 2,773.09, 4,158.89 and 924.27

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Solution

The fourth proportional to 2,773.09, 4,158.89 and 924.27 is: 1,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.09 : 4,158.89 = 924.27 : x
  2. Step 2: Convert to fraction form
    2,773.09/4,158.89 = 924.27/x
  3. Step 3: Cross multiply
    2,773.09x = 4,158.89 × 924.27
  4. Step 4: Simplify right side
    2,773.09x = 3,843,937.26
  5. Step 5: Solve for x
    x = 3,843,937.26/2,773.09
  6. Step 6: Final answer
    x = 1,386.16

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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.