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Finding the Fourth Proportional to 2,335.98, 3,504.54 and 874.32

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Solution

The fourth proportional to 2,335.98, 3,504.54 and 874.32 is: 1,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.98 : 3,504.54 = 874.32 : x
  2. Step 2: Convert to fraction form
    2,335.98/3,504.54 = 874.32/x
  3. Step 3: Cross multiply
    2,335.98x = 3,504.54 × 874.32
  4. Step 4: Simplify right side
    2,335.98x = 3,064,089.41
  5. Step 5: Solve for x
    x = 3,064,089.41/2,335.98
  6. Step 6: Final answer
    x = 1,311.69

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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.