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Finding the Fourth Proportional to 1,665.06, 2,480.13 and 1,580.82

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Solution

The fourth proportional to 1,665.06, 2,480.13 and 1,580.82 is: 2,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.06 : 2,480.13 = 1,580.82 : x
  2. Step 2: Convert to fraction form
    1,665.06/2,480.13 = 1,580.82/x
  3. Step 3: Cross multiply
    1,665.06x = 2,480.13 × 1,580.82
  4. Step 4: Simplify right side
    1,665.06x = 3,920,639.11
  5. Step 5: Solve for x
    x = 3,920,639.11/1,665.06
  6. Step 6: Final answer
    x = 2,354.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.