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Finding the Fourth Proportional to 1,927.49, 2,659.95 and 1,088.20

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Solution

The fourth proportional to 1,927.49, 2,659.95 and 1,088.20 is: 1,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.49 : 2,659.95 = 1,088.20 : x
  2. Step 2: Convert to fraction form
    1,927.49/2,659.95 = 1,088.20/x
  3. Step 3: Cross multiply
    1,927.49x = 2,659.95 × 1,088.20
  4. Step 4: Simplify right side
    1,927.49x = 2,894,560.91
  5. Step 5: Solve for x
    x = 2,894,560.91/1,927.49
  6. Step 6: Final answer
    x = 1,501.73

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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.