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Finding the Fourth Proportional to 1,837.48, 2,531.76 and 1,247

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Solution

The fourth proportional to 1,837.48, 2,531.76 and 1,247 is: 1,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.48 : 2,531.76 = 1,247 : x
  2. Step 2: Convert to fraction form
    1,837.48/2,531.76 = 1,247/x
  3. Step 3: Cross multiply
    1,837.48x = 2,531.76 × 1,247
  4. Step 4: Simplify right side
    1,837.48x = 3,157,104.72
  5. Step 5: Solve for x
    x = 3,157,104.72/1,837.48
  6. Step 6: Final answer
    x = 1,718.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.