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Finding the Fourth Proportional to 2,837.60, 3,915.20 and 1,642.40

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Solution

The fourth proportional to 2,837.60, 3,915.20 and 1,642.40 is: 2,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.60 : 3,915.20 = 1,642.40 : x
  2. Step 2: Convert to fraction form
    2,837.60/3,915.20 = 1,642.40/x
  3. Step 3: Cross multiply
    2,837.60x = 3,915.20 × 1,642.40
  4. Step 4: Simplify right side
    2,837.60x = 6,430,324.48
  5. Step 5: Solve for x
    x = 6,430,324.48/2,837.60
  6. Step 6: Final answer
    x = 2,266.11

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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.