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Finding the Fourth Proportional to 2,225.75, 3,340.71 and 1,130.90

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Solution

The fourth proportional to 2,225.75, 3,340.71 and 1,130.90 is: 1,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.75 : 3,340.71 = 1,130.90 : x
  2. Step 2: Convert to fraction form
    2,225.75/3,340.71 = 1,130.90/x
  3. Step 3: Cross multiply
    2,225.75x = 3,340.71 × 1,130.90
  4. Step 4: Simplify right side
    2,225.75x = 3,778,008.94
  5. Step 5: Solve for x
    x = 3,778,008.94/2,225.75
  6. Step 6: Final answer
    x = 1,697.41

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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.