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Finding the Fourth Proportional to 2,756.25, 4,114.53 and 2,362

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Solution

The fourth proportional to 2,756.25, 4,114.53 and 2,362 is: 3,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.25 : 4,114.53 = 2,362 : x
  2. Step 2: Convert to fraction form
    2,756.25/4,114.53 = 2,362/x
  3. Step 3: Cross multiply
    2,756.25x = 4,114.53 × 2,362
  4. Step 4: Simplify right side
    2,756.25x = 9,718,519.86
  5. Step 5: Solve for x
    x = 9,718,519.86/2,756.25
  6. Step 6: Final answer
    x = 3,525.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.