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Finding the Fourth Proportional to 1,670.36, 2,502.30 and 1,532.66

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Solution

The fourth proportional to 1,670.36, 2,502.30 and 1,532.66 is: 2,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.36 : 2,502.30 = 1,532.66 : x
  2. Step 2: Convert to fraction form
    1,670.36/2,502.30 = 1,532.66/x
  3. Step 3: Cross multiply
    1,670.36x = 2,502.30 × 1,532.66
  4. Step 4: Simplify right side
    1,670.36x = 3,835,175.12
  5. Step 5: Solve for x
    x = 3,835,175.12/1,670.36
  6. Step 6: Final answer
    x = 2,296.02

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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.