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Finding the Fourth Proportional to 2,762.90, 3,810.61 and 1,953.93

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Solution

The fourth proportional to 2,762.90, 3,810.61 and 1,953.93 is: 2,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.90 : 3,810.61 = 1,953.93 : x
  2. Step 2: Convert to fraction form
    2,762.90/3,810.61 = 1,953.93/x
  3. Step 3: Cross multiply
    2,762.90x = 3,810.61 × 1,953.93
  4. Step 4: Simplify right side
    2,762.90x = 7,445,646.14
  5. Step 5: Solve for x
    x = 7,445,646.14/2,762.90
  6. Step 6: Final answer
    x = 2,694.87

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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.