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Finding the Fourth Proportional to 2,292.60, 3,164.94 and 1,918.20

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Solution

The fourth proportional to 2,292.60, 3,164.94 and 1,918.20 is: 2,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.60 : 3,164.94 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    2,292.60/3,164.94 = 1,918.20/x
  3. Step 3: Cross multiply
    2,292.60x = 3,164.94 × 1,918.20
  4. Step 4: Simplify right side
    2,292.60x = 6,070,987.91
  5. Step 5: Solve for x
    x = 6,070,987.91/2,292.60
  6. Step 6: Final answer
    x = 2,648.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.