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Finding the Fourth Proportional to 3,602.70, 4,971.42 and 2,276.40

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Solution

The fourth proportional to 3,602.70, 4,971.42 and 2,276.40 is: 3,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.70 : 4,971.42 = 2,276.40 : x
  2. Step 2: Convert to fraction form
    3,602.70/4,971.42 = 2,276.40/x
  3. Step 3: Cross multiply
    3,602.70x = 4,971.42 × 2,276.40
  4. Step 4: Simplify right side
    3,602.70x = 11,316,940.49
  5. Step 5: Solve for x
    x = 11,316,940.49/3,602.70
  6. Step 6: Final answer
    x = 3,141.24

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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.