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Finding the Fourth Proportional to 1,886.45, 2,595.65 and 1,549.11

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Solution

The fourth proportional to 1,886.45, 2,595.65 and 1,549.11 is: 2,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.45 : 2,595.65 = 1,549.11 : x
  2. Step 2: Convert to fraction form
    1,886.45/2,595.65 = 1,549.11/x
  3. Step 3: Cross multiply
    1,886.45x = 2,595.65 × 1,549.11
  4. Step 4: Simplify right side
    1,886.45x = 4,020,947.37
  5. Step 5: Solve for x
    x = 4,020,947.37/1,886.45
  6. Step 6: Final answer
    x = 2,131.49

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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.