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Finding the Fourth Proportional to 2,187.74, 3,019.14 and 1,193.07

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Solution

The fourth proportional to 2,187.74, 3,019.14 and 1,193.07 is: 1,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.74 : 3,019.14 = 1,193.07 : x
  2. Step 2: Convert to fraction form
    2,187.74/3,019.14 = 1,193.07/x
  3. Step 3: Cross multiply
    2,187.74x = 3,019.14 × 1,193.07
  4. Step 4: Simplify right side
    2,187.74x = 3,602,045.36
  5. Step 5: Solve for x
    x = 3,602,045.36/2,187.74
  6. Step 6: Final answer
    x = 1,646.47

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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.