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Finding the Fourth Proportional to 2,066.41, 3,100.52 and 970.68

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Solution

The fourth proportional to 2,066.41, 3,100.52 and 970.68 is: 1,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.41 : 3,100.52 = 970.68 : x
  2. Step 2: Convert to fraction form
    2,066.41/3,100.52 = 970.68/x
  3. Step 3: Cross multiply
    2,066.41x = 3,100.52 × 970.68
  4. Step 4: Simplify right side
    2,066.41x = 3,009,612.75
  5. Step 5: Solve for x
    x = 3,009,612.75/2,066.41
  6. Step 6: Final answer
    x = 1,456.45

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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.