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Finding the Fourth Proportional to 2,335.16, 3,503.79 and 874.42

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Solution

The fourth proportional to 2,335.16, 3,503.79 and 874.42 is: 1,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.16 : 3,503.79 = 874.42 : x
  2. Step 2: Convert to fraction form
    2,335.16/3,503.79 = 874.42/x
  3. Step 3: Cross multiply
    2,335.16x = 3,503.79 × 874.42
  4. Step 4: Simplify right side
    2,335.16x = 3,063,775.29
  5. Step 5: Solve for x
    x = 3,063,775.29/2,335.16
  6. Step 6: Final answer
    x = 1,312.02

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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.