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Finding the Fourth Proportional to 1,886.82, 2,599.66 and 1,648.95

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Solution

The fourth proportional to 1,886.82, 2,599.66 and 1,648.95 is: 2,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.82 : 2,599.66 = 1,648.95 : x
  2. Step 2: Convert to fraction form
    1,886.82/2,599.66 = 1,648.95/x
  3. Step 3: Cross multiply
    1,886.82x = 2,599.66 × 1,648.95
  4. Step 4: Simplify right side
    1,886.82x = 4,286,709.36
  5. Step 5: Solve for x
    x = 4,286,709.36/1,886.82
  6. Step 6: Final answer
    x = 2,271.92

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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.