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Finding the Fourth Proportional to 2,150.95, 2,968.58 and 1,311.91

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Solution

The fourth proportional to 2,150.95, 2,968.58 and 1,311.91 is: 1,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.95 : 2,968.58 = 1,311.91 : x
  2. Step 2: Convert to fraction form
    2,150.95/2,968.58 = 1,311.91/x
  3. Step 3: Cross multiply
    2,150.95x = 2,968.58 × 1,311.91
  4. Step 4: Simplify right side
    2,150.95x = 3,894,509.79
  5. Step 5: Solve for x
    x = 3,894,509.79/2,150.95
  6. Step 6: Final answer
    x = 1,810.60

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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.