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Finding the Fourth Proportional to 3,011.62, 4,513.93 and 1,780.06

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Solution

The fourth proportional to 3,011.62, 4,513.93 and 1,780.06 is: 2,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.62 : 4,513.93 = 1,780.06 : x
  2. Step 2: Convert to fraction form
    3,011.62/4,513.93 = 1,780.06/x
  3. Step 3: Cross multiply
    3,011.62x = 4,513.93 × 1,780.06
  4. Step 4: Simplify right side
    3,011.62x = 8,035,070.77
  5. Step 5: Solve for x
    x = 8,035,070.77/3,011.62
  6. Step 6: Final answer
    x = 2,668.03

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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.