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Finding the Fourth Proportional to 2,118.66, 2,922 and 1,454.46

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Solution

The fourth proportional to 2,118.66, 2,922 and 1,454.46 is: 2,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.66 : 2,922 = 1,454.46 : x
  2. Step 2: Convert to fraction form
    2,118.66/2,922 = 1,454.46/x
  3. Step 3: Cross multiply
    2,118.66x = 2,922 × 1,454.46
  4. Step 4: Simplify right side
    2,118.66x = 4,249,932.12
  5. Step 5: Solve for x
    x = 4,249,932.12/2,118.66
  6. Step 6: Final answer
    x = 2,005.95

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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.