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Finding the Fourth Proportional to 1,403.55, 2,102.90 and 970.20

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Solution

The fourth proportional to 1,403.55, 2,102.90 and 970.20 is: 1,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.55 : 2,102.90 = 970.20 : x
  2. Step 2: Convert to fraction form
    1,403.55/2,102.90 = 970.20/x
  3. Step 3: Cross multiply
    1,403.55x = 2,102.90 × 970.20
  4. Step 4: Simplify right side
    1,403.55x = 2,040,228.73
  5. Step 5: Solve for x
    x = 2,040,228.73/1,403.55
  6. Step 6: Final answer
    x = 1,453.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.