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Finding the Fourth Proportional to 1,923.65, 2,666.87 and 1,856.08

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Solution

The fourth proportional to 1,923.65, 2,666.87 and 1,856.08 is: 2,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.65 : 2,666.87 = 1,856.08 : x
  2. Step 2: Convert to fraction form
    1,923.65/2,666.87 = 1,856.08/x
  3. Step 3: Cross multiply
    1,923.65x = 2,666.87 × 1,856.08
  4. Step 4: Simplify right side
    1,923.65x = 4,949,922.04
  5. Step 5: Solve for x
    x = 4,949,922.04/1,923.65
  6. Step 6: Final answer
    x = 2,573.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.