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Finding the Fourth Proportional to 3,268.16, 4,510.08 and 1,776.08

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Solution

The fourth proportional to 3,268.16, 4,510.08 and 1,776.08 is: 2,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.16 : 4,510.08 = 1,776.08 : x
  2. Step 2: Convert to fraction form
    3,268.16/4,510.08 = 1,776.08/x
  3. Step 3: Cross multiply
    3,268.16x = 4,510.08 × 1,776.08
  4. Step 4: Simplify right side
    3,268.16x = 8,010,262.89
  5. Step 5: Solve for x
    x = 8,010,262.89/3,268.16
  6. Step 6: Final answer
    x = 2,451.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.