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Finding the Fourth Proportional to 1,670.40, 2,505.60 and 1,480.32

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Solution

The fourth proportional to 1,670.40, 2,505.60 and 1,480.32 is: 2,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.40 : 2,505.60 = 1,480.32 : x
  2. Step 2: Convert to fraction form
    1,670.40/2,505.60 = 1,480.32/x
  3. Step 3: Cross multiply
    1,670.40x = 2,505.60 × 1,480.32
  4. Step 4: Simplify right side
    1,670.40x = 3,709,089.79
  5. Step 5: Solve for x
    x = 3,709,089.79/1,670.40
  6. Step 6: Final answer
    x = 2,220.48

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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.