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Finding the Fourth Proportional to 2,103.95, 3,155.94 and 717.32

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Solution

The fourth proportional to 2,103.95, 3,155.94 and 717.32 is: 1,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.95 : 3,155.94 = 717.32 : x
  2. Step 2: Convert to fraction form
    2,103.95/3,155.94 = 717.32/x
  3. Step 3: Cross multiply
    2,103.95x = 3,155.94 × 717.32
  4. Step 4: Simplify right side
    2,103.95x = 2,263,803.10
  5. Step 5: Solve for x
    x = 2,263,803.10/2,103.95
  6. Step 6: Final answer
    x = 1,075.98

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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.