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Finding the Fourth Proportional to 1,471.90, 2,030.70 and 882.22

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Solution

The fourth proportional to 1,471.90, 2,030.70 and 882.22 is: 1,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.90 : 2,030.70 = 882.22 : x
  2. Step 2: Convert to fraction form
    1,471.90/2,030.70 = 882.22/x
  3. Step 3: Cross multiply
    1,471.90x = 2,030.70 × 882.22
  4. Step 4: Simplify right side
    1,471.90x = 1,791,524.15
  5. Step 5: Solve for x
    x = 1,791,524.15/1,471.90
  6. Step 6: Final answer
    x = 1,217.15

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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.