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Finding the Fourth Proportional to 2,353.02, 3,547.22 and 2,194.47

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Solution

The fourth proportional to 2,353.02, 3,547.22 and 2,194.47 is: 3,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.02 : 3,547.22 = 2,194.47 : x
  2. Step 2: Convert to fraction form
    2,353.02/3,547.22 = 2,194.47/x
  3. Step 3: Cross multiply
    2,353.02x = 3,547.22 × 2,194.47
  4. Step 4: Simplify right side
    2,353.02x = 7,784,256.90
  5. Step 5: Solve for x
    x = 7,784,256.90/2,353.02
  6. Step 6: Final answer
    x = 3,308.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.