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Finding the Fourth Proportional to 1,927.56, 2,659.86 and 1,088.14

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Solution

The fourth proportional to 1,927.56, 2,659.86 and 1,088.14 is: 1,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.56 : 2,659.86 = 1,088.14 : x
  2. Step 2: Convert to fraction form
    1,927.56/2,659.86 = 1,088.14/x
  3. Step 3: Cross multiply
    1,927.56x = 2,659.86 × 1,088.14
  4. Step 4: Simplify right side
    1,927.56x = 2,894,300.06
  5. Step 5: Solve for x
    x = 2,894,300.06/1,927.56
  6. Step 6: Final answer
    x = 1,501.54

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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.