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Finding the Fourth Proportional to 1,656.72, 2,496.30 and 1,374.48

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Solution

The fourth proportional to 1,656.72, 2,496.30 and 1,374.48 is: 2,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.72 : 2,496.30 = 1,374.48 : x
  2. Step 2: Convert to fraction form
    1,656.72/2,496.30 = 1,374.48/x
  3. Step 3: Cross multiply
    1,656.72x = 2,496.30 × 1,374.48
  4. Step 4: Simplify right side
    1,656.72x = 3,431,114.42
  5. Step 5: Solve for x
    x = 3,431,114.42/1,656.72
  6. Step 6: Final answer
    x = 2,071.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.