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Finding the Fourth Proportional to 3,602.06, 4,971.03 and 2,030.30

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Solution

The fourth proportional to 3,602.06, 4,971.03 and 2,030.30 is: 2,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.06 : 4,971.03 = 2,030.30 : x
  2. Step 2: Convert to fraction form
    3,602.06/4,971.03 = 2,030.30/x
  3. Step 3: Cross multiply
    3,602.06x = 4,971.03 × 2,030.30
  4. Step 4: Simplify right side
    3,602.06x = 10,092,682.21
  5. Step 5: Solve for x
    x = 10,092,682.21/3,602.06
  6. Step 6: Final answer
    x = 2,801.92

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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.