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Finding the Fourth Proportional to 2,308.63, 3,461.29 and 1,075.36

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Solution

The fourth proportional to 2,308.63, 3,461.29 and 1,075.36 is: 1,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.63 : 3,461.29 = 1,075.36 : x
  2. Step 2: Convert to fraction form
    2,308.63/3,461.29 = 1,075.36/x
  3. Step 3: Cross multiply
    2,308.63x = 3,461.29 × 1,075.36
  4. Step 4: Simplify right side
    2,308.63x = 3,722,132.81
  5. Step 5: Solve for x
    x = 3,722,132.81/2,308.63
  6. Step 6: Final answer
    x = 1,612.27

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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.