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Finding the Fourth Proportional to 2,048.29, 3,073.75 and 1,075.07

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Solution

The fourth proportional to 2,048.29, 3,073.75 and 1,075.07 is: 1,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.29 : 3,073.75 = 1,075.07 : x
  2. Step 2: Convert to fraction form
    2,048.29/3,073.75 = 1,075.07/x
  3. Step 3: Cross multiply
    2,048.29x = 3,073.75 × 1,075.07
  4. Step 4: Simplify right side
    2,048.29x = 3,304,501.41
  5. Step 5: Solve for x
    x = 3,304,501.41/2,048.29
  6. Step 6: Final answer
    x = 1,613.30

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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.