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Finding the Fourth Proportional to 1,557.06, 2,148.56 and 927.50

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Solution

The fourth proportional to 1,557.06, 2,148.56 and 927.50 is: 1,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.06 : 2,148.56 = 927.50 : x
  2. Step 2: Convert to fraction form
    1,557.06/2,148.56 = 927.50/x
  3. Step 3: Cross multiply
    1,557.06x = 2,148.56 × 927.50
  4. Step 4: Simplify right side
    1,557.06x = 1,992,777.50
  5. Step 5: Solve for x
    x = 1,992,777.50/1,557.06
  6. Step 6: Final answer
    x = 1,279.84

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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.