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Finding the Fourth Proportional to 2,507.52, 3,762.18 and 1,208.10

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Solution

The fourth proportional to 2,507.52, 3,762.18 and 1,208.10 is: 1,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.52 : 3,762.18 = 1,208.10 : x
  2. Step 2: Convert to fraction form
    2,507.52/3,762.18 = 1,208.10/x
  3. Step 3: Cross multiply
    2,507.52x = 3,762.18 × 1,208.10
  4. Step 4: Simplify right side
    2,507.52x = 4,545,089.66
  5. Step 5: Solve for x
    x = 4,545,089.66/2,507.52
  6. Step 6: Final answer
    x = 1,812.58

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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.