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Finding the Fourth Proportional to 2,507.16, 3,762.88 and 1,686.42

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Solution

The fourth proportional to 2,507.16, 3,762.88 and 1,686.42 is: 2,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.16 : 3,762.88 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    2,507.16/3,762.88 = 1,686.42/x
  3. Step 3: Cross multiply
    2,507.16x = 3,762.88 × 1,686.42
  4. Step 4: Simplify right side
    2,507.16x = 6,345,796.09
  5. Step 5: Solve for x
    x = 6,345,796.09/2,507.16
  6. Step 6: Final answer
    x = 2,531.07

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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.