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Finding the Fourth Proportional to 3,602.46, 4,971.15 and 2,030.22

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Solution

The fourth proportional to 3,602.46, 4,971.15 and 2,030.22 is: 2,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.46 : 4,971.15 = 2,030.22 : x
  2. Step 2: Convert to fraction form
    3,602.46/4,971.15 = 2,030.22/x
  3. Step 3: Cross multiply
    3,602.46x = 4,971.15 × 2,030.22
  4. Step 4: Simplify right side
    3,602.46x = 10,092,528.15
  5. Step 5: Solve for x
    x = 10,092,528.15/3,602.46
  6. Step 6: Final answer
    x = 2,801.57

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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.