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Finding the Fourth Proportional to 2,985.69, 4,475.16 and 1,521.75

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Solution

The fourth proportional to 2,985.69, 4,475.16 and 1,521.75 is: 2,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.69 : 4,475.16 = 1,521.75 : x
  2. Step 2: Convert to fraction form
    2,985.69/4,475.16 = 1,521.75/x
  3. Step 3: Cross multiply
    2,985.69x = 4,475.16 × 1,521.75
  4. Step 4: Simplify right side
    2,985.69x = 6,810,074.73
  5. Step 5: Solve for x
    x = 6,810,074.73/2,985.69
  6. Step 6: Final answer
    x = 2,280.90

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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.