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Finding the Fourth Proportional to 2,656.18, 3,980.80 and 1,094.40

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Solution

The fourth proportional to 2,656.18, 3,980.80 and 1,094.40 is: 1,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.18 : 3,980.80 = 1,094.40 : x
  2. Step 2: Convert to fraction form
    2,656.18/3,980.80 = 1,094.40/x
  3. Step 3: Cross multiply
    2,656.18x = 3,980.80 × 1,094.40
  4. Step 4: Simplify right side
    2,656.18x = 4,356,582.05
  5. Step 5: Solve for x
    x = 4,356,582.05/2,656.18
  6. Step 6: Final answer
    x = 1,640.17

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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.