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Finding the Fourth Proportional to 1,925.52, 2,657.23 and 1,086.23

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Solution

The fourth proportional to 1,925.52, 2,657.23 and 1,086.23 is: 1,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.52 : 2,657.23 = 1,086.23 : x
  2. Step 2: Convert to fraction form
    1,925.52/2,657.23 = 1,086.23/x
  3. Step 3: Cross multiply
    1,925.52x = 2,657.23 × 1,086.23
  4. Step 4: Simplify right side
    1,925.52x = 2,886,362.94
  5. Step 5: Solve for x
    x = 2,886,362.94/1,925.52
  6. Step 6: Final answer
    x = 1,499.00

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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.