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Finding the Fourth Proportional to 1,810.59, 2,710.73 and 1,192.41

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Solution

The fourth proportional to 1,810.59, 2,710.73 and 1,192.41 is: 1,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.59 : 2,710.73 = 1,192.41 : x
  2. Step 2: Convert to fraction form
    1,810.59/2,710.73 = 1,192.41/x
  3. Step 3: Cross multiply
    1,810.59x = 2,710.73 × 1,192.41
  4. Step 4: Simplify right side
    1,810.59x = 3,232,305.76
  5. Step 5: Solve for x
    x = 3,232,305.76/1,810.59
  6. Step 6: Final answer
    x = 1,785.22

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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.