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Finding the Fourth Proportional to 2,256.99, 3,385.55 and 1,022.95

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Solution

The fourth proportional to 2,256.99, 3,385.55 and 1,022.95 is: 1,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.99 : 3,385.55 = 1,022.95 : x
  2. Step 2: Convert to fraction form
    2,256.99/3,385.55 = 1,022.95/x
  3. Step 3: Cross multiply
    2,256.99x = 3,385.55 × 1,022.95
  4. Step 4: Simplify right side
    2,256.99x = 3,463,248.37
  5. Step 5: Solve for x
    x = 3,463,248.37/2,256.99
  6. Step 6: Final answer
    x = 1,534.45

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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.