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Finding the Fourth Proportional to 1,784.59, 2,675.92 and 810.16

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Solution

The fourth proportional to 1,784.59, 2,675.92 and 810.16 is: 1,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.59 : 2,675.92 = 810.16 : x
  2. Step 2: Convert to fraction form
    1,784.59/2,675.92 = 810.16/x
  3. Step 3: Cross multiply
    1,784.59x = 2,675.92 × 810.16
  4. Step 4: Simplify right side
    1,784.59x = 2,167,923.35
  5. Step 5: Solve for x
    x = 2,167,923.35/1,784.59
  6. Step 6: Final answer
    x = 1,214.80

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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.