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Finding the Fourth Proportional to 2,103.14, 2,895.80 and 1,803.98

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Solution

The fourth proportional to 2,103.14, 2,895.80 and 1,803.98 is: 2,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.14 : 2,895.80 = 1,803.98 : x
  2. Step 2: Convert to fraction form
    2,103.14/2,895.80 = 1,803.98/x
  3. Step 3: Cross multiply
    2,103.14x = 2,895.80 × 1,803.98
  4. Step 4: Simplify right side
    2,103.14x = 5,223,965.28
  5. Step 5: Solve for x
    x = 5,223,965.28/2,103.14
  6. Step 6: Final answer
    x = 2,483.89

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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.