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Finding the Fourth Proportional to 2,187.52, 3,019.42 and 1,303.94

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Solution

The fourth proportional to 2,187.52, 3,019.42 and 1,303.94 is: 1,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.52 : 3,019.42 = 1,303.94 : x
  2. Step 2: Convert to fraction form
    2,187.52/3,019.42 = 1,303.94/x
  3. Step 3: Cross multiply
    2,187.52x = 3,019.42 × 1,303.94
  4. Step 4: Simplify right side
    2,187.52x = 3,937,142.51
  5. Step 5: Solve for x
    x = 3,937,142.51/2,187.52
  6. Step 6: Final answer
    x = 1,799.82

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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.