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Finding the Fourth Proportional to 1,886.32, 2,585.94 and 1,856.08

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Solution

The fourth proportional to 1,886.32, 2,585.94 and 1,856.08 is: 2,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.32 : 2,585.94 = 1,856.08 : x
  2. Step 2: Convert to fraction form
    1,886.32/2,585.94 = 1,856.08/x
  3. Step 3: Cross multiply
    1,886.32x = 2,585.94 × 1,856.08
  4. Step 4: Simplify right side
    1,886.32x = 4,799,711.52
  5. Step 5: Solve for x
    x = 4,799,711.52/1,886.32
  6. Step 6: Final answer
    x = 2,544.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.