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Finding the Fourth Proportional to 2,726.16, 3,762.09 and 1,607.10

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Solution

The fourth proportional to 2,726.16, 3,762.09 and 1,607.10 is: 2,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.16 : 3,762.09 = 1,607.10 : x
  2. Step 2: Convert to fraction form
    2,726.16/3,762.09 = 1,607.10/x
  3. Step 3: Cross multiply
    2,726.16x = 3,762.09 × 1,607.10
  4. Step 4: Simplify right side
    2,726.16x = 6,046,054.84
  5. Step 5: Solve for x
    x = 6,046,054.84/2,726.16
  6. Step 6: Final answer
    x = 2,217.79

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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.