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Finding the Fourth Proportional to 2,985.57, 4,478.36 and 1,037.77

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Solution

The fourth proportional to 2,985.57, 4,478.36 and 1,037.77 is: 1,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.57 : 4,478.36 = 1,037.77 : x
  2. Step 2: Convert to fraction form
    2,985.57/4,478.36 = 1,037.77/x
  3. Step 3: Cross multiply
    2,985.57x = 4,478.36 × 1,037.77
  4. Step 4: Simplify right side
    2,985.57x = 4,647,491.27
  5. Step 5: Solve for x
    x = 4,647,491.27/2,985.57
  6. Step 6: Final answer
    x = 1,556.65

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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.