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Finding the Fourth Proportional to 2,098.56, 2,895.28 and 1,400.36

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Solution

The fourth proportional to 2,098.56, 2,895.28 and 1,400.36 is: 1,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.56 : 2,895.28 = 1,400.36 : x
  2. Step 2: Convert to fraction form
    2,098.56/2,895.28 = 1,400.36/x
  3. Step 3: Cross multiply
    2,098.56x = 2,895.28 × 1,400.36
  4. Step 4: Simplify right side
    2,098.56x = 4,054,434.30
  5. Step 5: Solve for x
    x = 4,054,434.30/2,098.56
  6. Step 6: Final answer
    x = 1,932.01

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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.