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Finding the Fourth Proportional to 2,117.64, 2,920.14 and 1,674.84

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Solution

The fourth proportional to 2,117.64, 2,920.14 and 1,674.84 is: 2,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.64 : 2,920.14 = 1,674.84 : x
  2. Step 2: Convert to fraction form
    2,117.64/2,920.14 = 1,674.84/x
  3. Step 3: Cross multiply
    2,117.64x = 2,920.14 × 1,674.84
  4. Step 4: Simplify right side
    2,117.64x = 4,890,767.28
  5. Step 5: Solve for x
    x = 4,890,767.28/2,117.64
  6. Step 6: Final answer
    x = 2,309.54

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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.