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Finding the Fourth Proportional to 1,840.65, 2,539.58 and 1,178.16

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Solution

The fourth proportional to 1,840.65, 2,539.58 and 1,178.16 is: 1,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.65 : 2,539.58 = 1,178.16 : x
  2. Step 2: Convert to fraction form
    1,840.65/2,539.58 = 1,178.16/x
  3. Step 3: Cross multiply
    1,840.65x = 2,539.58 × 1,178.16
  4. Step 4: Simplify right side
    1,840.65x = 2,992,031.57
  5. Step 5: Solve for x
    x = 2,992,031.57/1,840.65
  6. Step 6: Final answer
    x = 1,625.53

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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.