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Finding the Fourth Proportional to 1,840.66, 2,540.34 and 1,054.69

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Solution

The fourth proportional to 1,840.66, 2,540.34 and 1,054.69 is: 1,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.66 : 2,540.34 = 1,054.69 : x
  2. Step 2: Convert to fraction form
    1,840.66/2,540.34 = 1,054.69/x
  3. Step 3: Cross multiply
    1,840.66x = 2,540.34 × 1,054.69
  4. Step 4: Simplify right side
    1,840.66x = 2,679,264.84
  5. Step 5: Solve for x
    x = 2,679,264.84/1,840.66
  6. Step 6: Final answer
    x = 1,455.60

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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.