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Finding the Fourth Proportional to 2,187.80, 3,019.18 and 1,193.08

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Solution

The fourth proportional to 2,187.80, 3,019.18 and 1,193.08 is: 1,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.80 : 3,019.18 = 1,193.08 : x
  2. Step 2: Convert to fraction form
    2,187.80/3,019.18 = 1,193.08/x
  3. Step 3: Cross multiply
    2,187.80x = 3,019.18 × 1,193.08
  4. Step 4: Simplify right side
    2,187.80x = 3,602,123.27
  5. Step 5: Solve for x
    x = 3,602,123.27/2,187.80
  6. Step 6: Final answer
    x = 1,646.46

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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.