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Finding the Fourth Proportional to 2,641.68, 3,645.48 and 1,886.84

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Solution

The fourth proportional to 2,641.68, 3,645.48 and 1,886.84 is: 2,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.68 : 3,645.48 = 1,886.84 : x
  2. Step 2: Convert to fraction form
    2,641.68/3,645.48 = 1,886.84/x
  3. Step 3: Cross multiply
    2,641.68x = 3,645.48 × 1,886.84
  4. Step 4: Simplify right side
    2,641.68x = 6,878,437.48
  5. Step 5: Solve for x
    x = 6,878,437.48/2,641.68
  6. Step 6: Final answer
    x = 2,603.81

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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.