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Finding the Fourth Proportional to 2,116.70, 2,921.55 and 1,454.30

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Solution

The fourth proportional to 2,116.70, 2,921.55 and 1,454.30 is: 2,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.70 : 2,921.55 = 1,454.30 : x
  2. Step 2: Convert to fraction form
    2,116.70/2,921.55 = 1,454.30/x
  3. Step 3: Cross multiply
    2,116.70x = 2,921.55 × 1,454.30
  4. Step 4: Simplify right side
    2,116.70x = 4,248,810.17
  5. Step 5: Solve for x
    x = 4,248,810.17/2,116.70
  6. Step 6: Final answer
    x = 2,007.28

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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.