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Finding the Fourth Proportional to 2,309.61, 3,465.54 and 1,075.54

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Solution

The fourth proportional to 2,309.61, 3,465.54 and 1,075.54 is: 1,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.61 : 3,465.54 = 1,075.54 : x
  2. Step 2: Convert to fraction form
    2,309.61/3,465.54 = 1,075.54/x
  3. Step 3: Cross multiply
    2,309.61x = 3,465.54 × 1,075.54
  4. Step 4: Simplify right side
    2,309.61x = 3,727,326.89
  5. Step 5: Solve for x
    x = 3,727,326.89/2,309.61
  6. Step 6: Final answer
    x = 1,613.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.