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Finding the Fourth Proportional to 2,117.64, 2,920.95 and 1,454.85

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Solution

The fourth proportional to 2,117.64, 2,920.95 and 1,454.85 is: 2,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.64 : 2,920.95 = 1,454.85 : x
  2. Step 2: Convert to fraction form
    2,117.64/2,920.95 = 1,454.85/x
  3. Step 3: Cross multiply
    2,117.64x = 2,920.95 × 1,454.85
  4. Step 4: Simplify right side
    2,117.64x = 4,249,544.11
  5. Step 5: Solve for x
    x = 4,249,544.11/2,117.64
  6. Step 6: Final answer
    x = 2,006.74

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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.