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Finding the Fourth Proportional to 2,106.52, 3,159.59 and 719.89

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Solution

The fourth proportional to 2,106.52, 3,159.59 and 719.89 is: 1,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.52 : 3,159.59 = 719.89 : x
  2. Step 2: Convert to fraction form
    2,106.52/3,159.59 = 719.89/x
  3. Step 3: Cross multiply
    2,106.52x = 3,159.59 × 719.89
  4. Step 4: Simplify right side
    2,106.52x = 2,274,557.25
  5. Step 5: Solve for x
    x = 2,274,557.25/2,106.52
  6. Step 6: Final answer
    x = 1,079.77

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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.