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Finding the Fourth Proportional to 2,066.55, 3,100.28 and 970.31

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Solution

The fourth proportional to 2,066.55, 3,100.28 and 970.31 is: 1,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.55 : 3,100.28 = 970.31 : x
  2. Step 2: Convert to fraction form
    2,066.55/3,100.28 = 970.31/x
  3. Step 3: Cross multiply
    2,066.55x = 3,100.28 × 970.31
  4. Step 4: Simplify right side
    2,066.55x = 3,008,235.59
  5. Step 5: Solve for x
    x = 3,008,235.59/2,066.55
  6. Step 6: Final answer
    x = 1,455.68

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