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Finding the Fourth Proportional to 2,168.83, 3,252.01 and 707.59

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Solution

The fourth proportional to 2,168.83, 3,252.01 and 707.59 is: 1,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.83 : 3,252.01 = 707.59 : x
  2. Step 2: Convert to fraction form
    2,168.83/3,252.01 = 707.59/x
  3. Step 3: Cross multiply
    2,168.83x = 3,252.01 × 707.59
  4. Step 4: Simplify right side
    2,168.83x = 2,301,089.76
  5. Step 5: Solve for x
    x = 2,301,089.76/2,168.83
  6. Step 6: Final answer
    x = 1,060.98

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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.