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Finding the Fourth Proportional to 2,335.39, 3,502.98 and 874.42

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Solution

The fourth proportional to 2,335.39, 3,502.98 and 874.42 is: 1,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.39 : 3,502.98 = 874.42 : x
  2. Step 2: Convert to fraction form
    2,335.39/3,502.98 = 874.42/x
  3. Step 3: Cross multiply
    2,335.39x = 3,502.98 × 874.42
  4. Step 4: Simplify right side
    2,335.39x = 3,063,075.77
  5. Step 5: Solve for x
    x = 3,063,075.77/2,335.39
  6. Step 6: Final answer
    x = 1,311.59

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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.