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Finding the Fourth Proportional to 2,060.71, 3,088.90 and 964.18

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Solution

The fourth proportional to 2,060.71, 3,088.90 and 964.18 is: 1,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.71 : 3,088.90 = 964.18 : x
  2. Step 2: Convert to fraction form
    2,060.71/3,088.90 = 964.18/x
  3. Step 3: Cross multiply
    2,060.71x = 3,088.90 × 964.18
  4. Step 4: Simplify right side
    2,060.71x = 2,978,255.60
  5. Step 5: Solve for x
    x = 2,978,255.60/2,060.71
  6. Step 6: Final answer
    x = 1,445.26

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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.