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Finding the Fourth Proportional to 2,117.76, 3,177.60 and 1,077.12

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Solution

The fourth proportional to 2,117.76, 3,177.60 and 1,077.12 is: 1,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.76 : 3,177.60 = 1,077.12 : x
  2. Step 2: Convert to fraction form
    2,117.76/3,177.60 = 1,077.12/x
  3. Step 3: Cross multiply
    2,117.76x = 3,177.60 × 1,077.12
  4. Step 4: Simplify right side
    2,117.76x = 3,422,656.51
  5. Step 5: Solve for x
    x = 3,422,656.51/2,117.76
  6. Step 6: Final answer
    x = 1,616.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.