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Finding the Fourth Proportional to 2,762.84, 3,810.84 and 1,713.08

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Solution

The fourth proportional to 2,762.84, 3,810.84 and 1,713.08 is: 2,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.84 : 3,810.84 = 1,713.08 : x
  2. Step 2: Convert to fraction form
    2,762.84/3,810.84 = 1,713.08/x
  3. Step 3: Cross multiply
    2,762.84x = 3,810.84 × 1,713.08
  4. Step 4: Simplify right side
    2,762.84x = 6,528,273.79
  5. Step 5: Solve for x
    x = 6,528,273.79/2,762.84
  6. Step 6: Final answer
    x = 2,362.89

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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.