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Finding the Fourth Proportional to 3,075.51, 4,243.01 and 1,730.82

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Solution

The fourth proportional to 3,075.51, 4,243.01 and 1,730.82 is: 2,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.51 : 4,243.01 = 1,730.82 : x
  2. Step 2: Convert to fraction form
    3,075.51/4,243.01 = 1,730.82/x
  3. Step 3: Cross multiply
    3,075.51x = 4,243.01 × 1,730.82
  4. Step 4: Simplify right side
    3,075.51x = 7,343,877.91
  5. Step 5: Solve for x
    x = 7,343,877.91/3,075.51
  6. Step 6: Final answer
    x = 2,387.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.