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Finding the Fourth Proportional to 2,187.84, 3,019.50 and 1,256.52

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Solution

The fourth proportional to 2,187.84, 3,019.50 and 1,256.52 is: 1,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.84 : 3,019.50 = 1,256.52 : x
  2. Step 2: Convert to fraction form
    2,187.84/3,019.50 = 1,256.52/x
  3. Step 3: Cross multiply
    2,187.84x = 3,019.50 × 1,256.52
  4. Step 4: Simplify right side
    2,187.84x = 3,794,062.14
  5. Step 5: Solve for x
    x = 3,794,062.14/2,187.84
  6. Step 6: Final answer
    x = 1,734.16

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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.