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Finding the Fourth Proportional to 1,978.48, 2,730.41 and 1,139.19

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Solution

The fourth proportional to 1,978.48, 2,730.41 and 1,139.19 is: 1,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.48 : 2,730.41 = 1,139.19 : x
  2. Step 2: Convert to fraction form
    1,978.48/2,730.41 = 1,139.19/x
  3. Step 3: Cross multiply
    1,978.48x = 2,730.41 × 1,139.19
  4. Step 4: Simplify right side
    1,978.48x = 3,110,455.77
  5. Step 5: Solve for x
    x = 3,110,455.77/1,978.48
  6. Step 6: Final answer
    x = 1,572.14

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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.