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Finding the Fourth Proportional to 2,762.65, 4,142.40 and 1,886.20

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Solution

The fourth proportional to 2,762.65, 4,142.40 and 1,886.20 is: 2,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.65 : 4,142.40 = 1,886.20 : x
  2. Step 2: Convert to fraction form
    2,762.65/4,142.40 = 1,886.20/x
  3. Step 3: Cross multiply
    2,762.65x = 4,142.40 × 1,886.20
  4. Step 4: Simplify right side
    2,762.65x = 7,813,400.75
  5. Step 5: Solve for x
    x = 7,813,400.75/2,762.65
  6. Step 6: Final answer
    x = 2,828.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.