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Finding the Fourth Proportional to 2,088.64, 3,133.14 and 2,060.20

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Solution

The fourth proportional to 2,088.64, 3,133.14 and 2,060.20 is: 3,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.64 : 3,133.14 = 2,060.20 : x
  2. Step 2: Convert to fraction form
    2,088.64/3,133.14 = 2,060.20/x
  3. Step 3: Cross multiply
    2,088.64x = 3,133.14 × 2,060.20
  4. Step 4: Simplify right side
    2,088.64x = 6,454,895.03
  5. Step 5: Solve for x
    x = 6,454,895.03/2,088.64
  6. Step 6: Final answer
    x = 3,090.48

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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.