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Finding the Fourth Proportional to 2,855.32, 4,283.58 and 1,006.48

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Solution

The fourth proportional to 2,855.32, 4,283.58 and 1,006.48 is: 1,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.32 : 4,283.58 = 1,006.48 : x
  2. Step 2: Convert to fraction form
    2,855.32/4,283.58 = 1,006.48/x
  3. Step 3: Cross multiply
    2,855.32x = 4,283.58 × 1,006.48
  4. Step 4: Simplify right side
    2,855.32x = 4,311,337.60
  5. Step 5: Solve for x
    x = 4,311,337.60/2,855.32
  6. Step 6: Final answer
    x = 1,509.93

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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.