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Finding the Fourth Proportional to 2,153.99, 2,966.55 and 2,042.75

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Solution

The fourth proportional to 2,153.99, 2,966.55 and 2,042.75 is: 2,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.99 : 2,966.55 = 2,042.75 : x
  2. Step 2: Convert to fraction form
    2,153.99/2,966.55 = 2,042.75/x
  3. Step 3: Cross multiply
    2,153.99x = 2,966.55 × 2,042.75
  4. Step 4: Simplify right side
    2,153.99x = 6,059,920.01
  5. Step 5: Solve for x
    x = 6,059,920.01/2,153.99
  6. Step 6: Final answer
    x = 2,813.35

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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.