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Finding the Fourth Proportional to 2,875.71, 3,968.69 and 2,119.80

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Solution

The fourth proportional to 2,875.71, 3,968.69 and 2,119.80 is: 2,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.71 : 3,968.69 = 2,119.80 : x
  2. Step 2: Convert to fraction form
    2,875.71/3,968.69 = 2,119.80/x
  3. Step 3: Cross multiply
    2,875.71x = 3,968.69 × 2,119.80
  4. Step 4: Simplify right side
    2,875.71x = 8,412,818.46
  5. Step 5: Solve for x
    x = 8,412,818.46/2,875.71
  6. Step 6: Final answer
    x = 2,925.48

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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.