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Finding the Fourth Proportional to 3,030.88, 4,546.32 and 1,660

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Solution

The fourth proportional to 3,030.88, 4,546.32 and 1,660 is: 2,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.88 : 4,546.32 = 1,660 : x
  2. Step 2: Convert to fraction form
    3,030.88/4,546.32 = 1,660/x
  3. Step 3: Cross multiply
    3,030.88x = 4,546.32 × 1,660
  4. Step 4: Simplify right side
    3,030.88x = 7,546,891.20
  5. Step 5: Solve for x
    x = 7,546,891.20/3,030.88
  6. Step 6: Final answer
    x = 2,490.00

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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.