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Finding the Fourth Proportional to 2,468.68, 3,697.58 and 1,776.70

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Solution

The fourth proportional to 2,468.68, 3,697.58 and 1,776.70 is: 2,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.68 : 3,697.58 = 1,776.70 : x
  2. Step 2: Convert to fraction form
    2,468.68/3,697.58 = 1,776.70/x
  3. Step 3: Cross multiply
    2,468.68x = 3,697.58 × 1,776.70
  4. Step 4: Simplify right side
    2,468.68x = 6,569,499.45
  5. Step 5: Solve for x
    x = 6,569,499.45/2,468.68
  6. Step 6: Final answer
    x = 2,661.14

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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.