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Finding the Fourth Proportional to 1,927.84, 2,659.76 and 1,573.15

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Solution

The fourth proportional to 1,927.84, 2,659.76 and 1,573.15 is: 2,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.84 : 2,659.76 = 1,573.15 : x
  2. Step 2: Convert to fraction form
    1,927.84/2,659.76 = 1,573.15/x
  3. Step 3: Cross multiply
    1,927.84x = 2,659.76 × 1,573.15
  4. Step 4: Simplify right side
    1,927.84x = 4,184,188.15
  5. Step 5: Solve for x
    x = 4,184,188.15/1,927.84
  6. Step 6: Final answer
    x = 2,170.41

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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.