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Finding the Fourth Proportional to 1,784.62, 2,677.61 and 810.06

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Solution

The fourth proportional to 1,784.62, 2,677.61 and 810.06 is: 1,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.62 : 2,677.61 = 810.06 : x
  2. Step 2: Convert to fraction form
    1,784.62/2,677.61 = 810.06/x
  3. Step 3: Cross multiply
    1,784.62x = 2,677.61 × 810.06
  4. Step 4: Simplify right side
    1,784.62x = 2,169,024.76
  5. Step 5: Solve for x
    x = 2,169,024.76/1,784.62
  6. Step 6: Final answer
    x = 1,215.40

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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.