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Finding the Fourth Proportional to 3,482.92, 4,806.51 and 1,911.02

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Solution

The fourth proportional to 3,482.92, 4,806.51 and 1,911.02 is: 2,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.92 : 4,806.51 = 1,911.02 : x
  2. Step 2: Convert to fraction form
    3,482.92/4,806.51 = 1,911.02/x
  3. Step 3: Cross multiply
    3,482.92x = 4,806.51 × 1,911.02
  4. Step 4: Simplify right side
    3,482.92x = 9,185,336.74
  5. Step 5: Solve for x
    x = 9,185,336.74/3,482.92
  6. Step 6: Final answer
    x = 2,637.25

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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.