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Finding the Fourth Proportional to 1,840.84, 2,539.50 and 1,054.46

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Solution

The fourth proportional to 1,840.84, 2,539.50 and 1,054.46 is: 1,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.84 : 2,539.50 = 1,054.46 : x
  2. Step 2: Convert to fraction form
    1,840.84/2,539.50 = 1,054.46/x
  3. Step 3: Cross multiply
    1,840.84x = 2,539.50 × 1,054.46
  4. Step 4: Simplify right side
    1,840.84x = 2,677,801.17
  5. Step 5: Solve for x
    x = 2,677,801.17/1,840.84
  6. Step 6: Final answer
    x = 1,454.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.