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Finding the Fourth Proportional to 1,924.66, 2,655.54 and 1,178.35

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Solution

The fourth proportional to 1,924.66, 2,655.54 and 1,178.35 is: 1,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.66 : 2,655.54 = 1,178.35 : x
  2. Step 2: Convert to fraction form
    1,924.66/2,655.54 = 1,178.35/x
  3. Step 3: Cross multiply
    1,924.66x = 2,655.54 × 1,178.35
  4. Step 4: Simplify right side
    1,924.66x = 3,129,155.56
  5. Step 5: Solve for x
    x = 3,129,155.56/1,924.66
  6. Step 6: Final answer
    x = 1,625.82

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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.