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Finding the Fourth Proportional to 2,117.51, 2,919.07 and 1,674.71

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Solution

The fourth proportional to 2,117.51, 2,919.07 and 1,674.71 is: 2,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.51 : 2,919.07 = 1,674.71 : x
  2. Step 2: Convert to fraction form
    2,117.51/2,919.07 = 1,674.71/x
  3. Step 3: Cross multiply
    2,117.51x = 2,919.07 × 1,674.71
  4. Step 4: Simplify right side
    2,117.51x = 4,888,595.72
  5. Step 5: Solve for x
    x = 4,888,595.72/2,117.51
  6. Step 6: Final answer
    x = 2,308.65

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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.